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Prims.Tot
val va_codegen_success_Cmovc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cmovc64 dst src = (va_ttrue ())
val va_codegen_success_Cmovc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Cmovc64 dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cmovc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cmovc64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 51, "start_col": 2, "start_line": 51 }
Prims.Tot
val va_codegen_success_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Add64 dst src = (va_ttrue ())
val va_codegen_success_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Add64 dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Add64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 80, "start_col": 2, "start_line": 80 }
Prims.Tot
val va_code_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src))
val va_code_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Add64 dst src =
false
null
false
(mk_ins (make_instr (I.ins_Add64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Add64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Add64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 45, "end_line": 76, "start_col": 2, "start_line": 76 }
Prims.Tot
val va_code_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
val va_code_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Tot va_code let va_code_AddLea64 dst src1 src2 =
false
null
false
(mk_ins (make_instr (I.ins_AddLea64) dst src1 src2))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_AddLea64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_AddLea64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src1: Vale.X64.Decls.va_operand_opr64 -> src2: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 54, "end_line": 136, "start_col": 2, "start_line": 136 }
Prims.Tot
val va_codegen_success_Add64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Add64Wrap dst src = (va_ttrue ())
val va_codegen_success_Add64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Add64Wrap dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Add64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Add64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 110, "start_col": 2, "start_line": 110 }
Prims.Tot
val va_codegen_success_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ())
val va_codegen_success_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Tot va_pbool let va_codegen_success_AddLea64 dst src1 src2 =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_AddLea64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src1: Vale.X64.Decls.va_operand_opr64 -> src2: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 140, "start_col": 2, "start_line": 140 }
Prims.Tot
val va_codegen_success_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Adc64 dst src = (va_ttrue ())
val va_codegen_success_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Adc64 dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Adc64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 169, "start_col": 2, "start_line": 169 }
Prims.Tot
val va_code_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src))
val va_code_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Adc64 dst src =
false
null
false
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_AddCarry64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Adc64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 50, "end_line": 165, "start_col": 2, "start_line": 165 }
Prims.Tot
val va_code_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src))
val va_code_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Adc64Wrap dst src =
false
null
false
(mk_ins (make_instr (I.ins_AddCarry64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_AddCarry64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Adc64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 50, "end_line": 195, "start_col": 2, "start_line": 195 }
Prims.Tot
val va_codegen_success_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Adc64Wrap dst src = (va_ttrue ())
val va_codegen_success_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Adc64Wrap dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Adc64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 199, "start_col": 2, "start_line": 199 }
Prims.Tot
val va_code_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src))
val va_code_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Adcx64Wrap dst src =
false
null
false
(mk_ins (make_instr (I.ins_Adcx64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Adcx64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Adcx64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 46, "end_line": 226, "start_col": 2, "start_line": 226 }
Prims.Tot
val va_codegen_success_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ())
val va_codegen_success_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Adcx64Wrap dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Adcx64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 230, "start_col": 2, "start_line": 230 }
Prims.Ghost
val va_wpProof_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Add64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Add64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Add64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Add64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Add64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Add64", "Vale.X64.InsBasic.va_code_Add64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Add64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Add64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Add64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Add64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 99, "start_col": 41, "start_line": 92 }
Prims.Ghost
val va_wpProof_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adc64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adc64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adc64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adc64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Adc64Wrap dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Adc64Wrap", "Vale.X64.InsBasic.va_code_Adc64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Adc64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adc64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adc64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Adc64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 218, "start_col": 45, "start_line": 211 }
Prims.Ghost
val va_wpProof_Cpuid_Sse : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Sse va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sse ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_Sse : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Sse va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sse ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_Sse va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_Sse", "Vale.X64.InsBasic.va_code_Cpuid_Sse" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_Sse : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Sse va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sse ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_Sse
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 794, "start_col": 37, "start_line": 786 }
Prims.Ghost
val va_wpProof_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sub64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sub64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sub64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sub64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Sub64Wrap dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Sub64Wrap", "Vale.X64.InsBasic.va_code_Sub64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sub64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sub64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Sub64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 344, "start_col": 45, "start_line": 337 }
Prims.Ghost
val va_wpProof_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sbb64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sbb64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sbb64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sbb64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Sbb64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Sbb64", "Vale.X64.InsBasic.va_code_Sbb64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sbb64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sbb64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Sbb64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 374, "start_col": 41, "start_line": 367 }
Prims.Ghost
val va_wpProof_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Xor64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Xor64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Xor64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Xor64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Xor64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Xor64", "Vale.X64.InsBasic.va_code_Xor64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Xor64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Xor64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Xor64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 512, "start_col": 41, "start_line": 505 }
Prims.Ghost
val va_wpProof_Mulx64 : dst_hi:va_operand_dst_opr64 -> dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mulx64 dst_hi dst_lo src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mulx64 dst_hi dst_lo src) ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Mulx64 : dst_hi:va_operand_dst_opr64 -> dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mulx64 dst_hi dst_lo src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mulx64 dst_hi dst_lo src) ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0) ))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Mulx64", "Vale.X64.InsBasic.va_code_Mulx64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Mulx64 : dst_hi:va_operand_dst_opr64 -> dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mulx64 dst_hi dst_lo src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mulx64 dst_hi dst_lo src) ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Mulx64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst_hi: Vale.X64.Decls.va_operand_dst_opr64 -> dst_lo: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 445, "start_col": 52, "start_line": 438 }
Prims.Ghost
val va_wpProof_Cpuid_Adx_Bmi2 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Adx_Bmi2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Adx_Bmi2 ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_Adx_Bmi2 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Adx_Bmi2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Adx_Bmi2 ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_Adx_Bmi2", "Vale.X64.InsBasic.va_code_Cpuid_Adx_Bmi2" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_Adx_Bmi2 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Adx_Bmi2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Adx_Bmi2 ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_Adx_Bmi2
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 698, "start_col": 42, "start_line": 690 }
Prims.Ghost
val va_wpProof_Cpuid_Movbe : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Movbe va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Movbe ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_Movbe : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Movbe va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Movbe ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_Movbe va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_Movbe", "Vale.X64.InsBasic.va_code_Cpuid_Movbe" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_Movbe : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Movbe va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Movbe ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_Movbe
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 826, "start_col": 39, "start_line": 818 }
Prims.Ghost
val va_wpProof_Cpuid_Sha : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Sha va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sha ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_Sha : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Sha va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sha ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_Sha va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_Sha", "Vale.X64.InsBasic.va_code_Cpuid_Sha" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_Sha : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Sha va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Sha ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_Sha
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 666, "start_col": 37, "start_line": 658 }
Prims.Ghost
val va_wpProof_Cpuid_AES : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_AES va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_AES ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_AES : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_AES va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_AES ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_AES va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_AES", "Vale.X64.InsBasic.va_code_Cpuid_AES" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_AES : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_AES va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_AES ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_AES
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 634, "start_col": 37, "start_line": 626 }
Prims.Ghost
val va_wpProof_NoNewline : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_NoNewline va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_NoNewline ()) ([]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_NoNewline va_s0 va_k = let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_NoNewline : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_NoNewline va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_NoNewline ()) ([]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_NoNewline va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Nil", "Vale.X64.QuickCode.mod_t", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_NoNewline", "Vale.X64.InsBasic.va_code_NoNewline" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"] let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) [@ "opaque_to_smt"] let va_codegen_success_LargeComment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_LargeComment va_b0 va_s0 c = va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_LargeComment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- NoNewline [@ "opaque_to_smt"] let va_code_NoNewline () = (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) [@ "opaque_to_smt"] let va_codegen_success_NoNewline () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_NoNewline va_b0 va_s0 = va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_NoNewline : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_NoNewline va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_NoNewline ()) ([]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_NoNewline
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1124, "start_col": 37, "start_line": 1118 }
Prims.Ghost
val va_wpProof_Cpuid_Rdrand : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Rdrand va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Rdrand ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_Rdrand : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Rdrand va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Rdrand ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_Rdrand va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_Rdrand", "Vale.X64.InsBasic.va_code_Cpuid_Rdrand" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_Rdrand : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Rdrand va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Rdrand ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_Rdrand
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 858, "start_col": 40, "start_line": 850 }
Prims.Ghost
val va_wpProof_Cpuid_Avx2 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx2 ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_Avx2 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx2 ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_Avx2 va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_Avx2", "Vale.X64.InsBasic.va_code_Cpuid_Avx2" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_Avx2 : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx2 ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_Avx2
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 762, "start_col": 38, "start_line": 754 }
Prims.Ghost
val va_wpProof_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Nat64Equal dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Nat64Equal dst src) ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Nat64Equal dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Nat64Equal dst src) ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Nat64Equal dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))) )); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_reg_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_reg_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_reg_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Nat64Equal", "Vale.X64.InsBasic.va_code_Nat64Equal" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Nat64Equal dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Nat64Equal dst src) ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Nat64Equal
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_reg_opr64 -> src: Vale.X64.Decls.va_operand_reg_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 1033, "start_col": 46, "start_line": 1026 }
Prims.Ghost
val va_lemma_Prefetchnta : va_b0:va_code -> va_s0:va_state -> v:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Prefetchnta v) va_s0 /\ va_is_src_opr64 v va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_ok va_sM va_s0)))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Prefetchnta va_b0 va_s0 v = va_reveal_opaque (`%va_code_Prefetchnta) (va_code_Prefetchnta v); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) va_s0 in (va_sM, va_fM)
val va_lemma_Prefetchnta : va_b0:va_code -> va_s0:va_state -> v:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Prefetchnta v) va_s0 /\ va_is_src_opr64 v va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_ok va_sM va_s0))) let va_lemma_Prefetchnta va_b0 va_s0 v =
false
null
false
va_reveal_opaque (`%va_code_Prefetchnta) (va_code_Prefetchnta v); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr_annotate", "Prims.Nil", "Vale.X64.Instruction_s.instr_out", "Prims.Cons", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.op64", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Prefetchnta", "Vale.X64.Machine_Semantics_s.AnnotatePrefetchnta", "Vale.X64.Instruction_s.InstrTypeRecord", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Prefetchnta" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"] let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) [@ "opaque_to_smt"] let va_codegen_success_LargeComment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_LargeComment va_b0 va_s0 c = va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_LargeComment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- NoNewline [@ "opaque_to_smt"] let va_code_NoNewline () = (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) [@ "opaque_to_smt"] let va_codegen_success_NoNewline () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_NoNewline va_b0 va_s0 = va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_NoNewline va_s0 va_k = let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Newline [@ "opaque_to_smt"] let va_code_Newline () = (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) [@ "opaque_to_smt"] let va_codegen_success_Newline () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Newline va_b0 va_s0 = va_reveal_opaque (`%va_code_Newline) (va_code_Newline ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Newline va_s0 va_k = let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Space [@ "opaque_to_smt"] let va_code_Space n = (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) [@ "opaque_to_smt"] let va_codegen_success_Space n = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Space va_b0 va_s0 n = va_reveal_opaque (`%va_code_Space) (va_code_Space n); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Space n va_s0 va_k = let (va_sM, va_f0) = va_lemma_Space (va_code_Space n) va_s0 n in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Prefetchnta [@ "opaque_to_smt"] let va_code_Prefetchnta v = (mk_ins (make_instr_annotate (I.ins_Prefetchnta) (S.AnnotatePrefetchnta ()) v)) [@ "opaque_to_smt"] let va_codegen_success_Prefetchnta v = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Prefetchnta : va_b0:va_code -> va_s0:va_state -> v:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Prefetchnta v) va_s0 /\ va_is_src_opr64 v va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_state_eq va_sM (va_update_ok va_sM va_s0)))
[]
Vale.X64.InsBasic.va_lemma_Prefetchnta
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> v: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 1205, "start_col": 2, "start_line": 1199 }
Prims.Tot
val va_code_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src))
val va_code_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Adox64Wrap dst src =
false
null
false
(mk_ins (make_instr (I.ins_Adox64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsOf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Adox64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Adox64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 46, "end_line": 261, "start_col": 2, "start_line": 261 }
Prims.Tot
val va_codegen_success_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Adox64Wrap dst src = (va_ttrue ())
val va_codegen_success_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Adox64Wrap dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Adox64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 265, "start_col": 2, "start_line": 265 }
Prims.Tot
val va_codegen_success_Sub64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Sub64 dst src = (va_ttrue ())
val va_codegen_success_Sub64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Sub64 dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Sub64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Sub64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 295, "start_col": 2, "start_line": 295 }
Prims.Ghost
val va_lemma_Cpuid_AES : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_AES ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 33554432 > 0 == aesni_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 2 > 0 == pclmulqdq_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
val va_lemma_Cpuid_AES : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_AES ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 33554432 > 0 == aesni_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 2 > 0 == pclmulqdq_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) let va_lemma_Cpuid_AES va_b0 va_s0 =
false
null
false
va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Prims.unit", "Vale.X64.CPU_Features_s.cpuid_features", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Cpuid_AES" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Cpuid_AES : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_AES ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 33554432 > 0 == aesni_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 2 > 0 == pclmulqdq_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[]
Vale.X64.InsBasic.va_lemma_Cpuid_AES
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 622, "start_col": 2, "start_line": 617 }
Prims.Ghost
val va_lemma_Cpuid_Avx512 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Avx512 ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 65536 > 0 == avx512f_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 131072 > 0 == avx512dq_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 1073741824 > 0 == avx512bw_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 2147483648 > 0 == avx512vl_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
val va_lemma_Cpuid_Avx512 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Avx512 ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 65536 > 0 == avx512f_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 131072 > 0 == avx512dq_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 1073741824 > 0 == avx512bw_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 2147483648 > 0 == avx512vl_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) let va_lemma_Cpuid_Avx512 va_b0 va_s0 =
false
null
false
va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Prims.unit", "Vale.X64.CPU_Features_s.cpuid_features", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Cpuid_Avx512" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Cpuid_Avx512 : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Avx512 ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 7 /\ va_get_reg64 rRcx va_s0 = 0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 65536 > 0 == avx512f_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 131072 > 0 == avx512dq_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 1073741824 > 0 == avx512bw_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRbx va_sM) 2147483648 > 0 == avx512vl_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[]
Vale.X64.InsBasic.va_lemma_Cpuid_Avx512
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 878, "start_col": 2, "start_line": 873 }
Prims.Tot
val va_code_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src))
val va_code_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Sub64Wrap dst src =
false
null
false
(mk_ins (make_instr (I.ins_Sub64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Sub64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Sub64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 45, "end_line": 321, "start_col": 2, "start_line": 321 }
Prims.Ghost
val va_lemma_Cpuid_Sse : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Sse ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRdx va_sM) 67108864 > 0 == sse2_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 524288 > 0 == sse4_1_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 512 > 0 == ssse3_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
val va_lemma_Cpuid_Sse : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Sse ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRdx va_sM) 67108864 > 0 == sse2_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 524288 > 0 == sse4_1_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 512 > 0 == ssse3_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) let va_lemma_Cpuid_Sse va_b0 va_s0 =
false
null
false
va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Prims.unit", "Vale.X64.CPU_Features_s.cpuid_features", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Cpuid_Sse" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Cpuid_Sse : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Sse ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRdx va_sM) 67108864 > 0 == sse2_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 524288 > 0 == sse4_1_enabled /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 512 > 0 == ssse3_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[]
Vale.X64.InsBasic.va_lemma_Cpuid_Sse
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 782, "start_col": 2, "start_line": 777 }
Prims.Tot
val va_codegen_success_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Sbb64 dst src = (va_ttrue ())
val va_codegen_success_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Sbb64 dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Sbb64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 355, "start_col": 2, "start_line": 355 }
Prims.Tot
val va_code_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src))
val va_code_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Sbb64 dst src =
false
null
false
(mk_ins (make_instr (I.ins_Sbb64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Sbb64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Sbb64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Sbb64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 45, "end_line": 351, "start_col": 2, "start_line": 351 }
Prims.Tot
val va_codegen_success_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Sub64Wrap dst src = (va_ttrue ())
val va_codegen_success_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Sub64Wrap dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Sub64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Sub64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 325, "start_col": 2, "start_line": 325 }
Prims.Ghost
val va_lemma_Cpuid_Avx : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Avx ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 268435456 > 0 == avx_cpuid_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
val va_lemma_Cpuid_Avx : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Avx ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 268435456 > 0 == avx_cpuid_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))) let va_lemma_Cpuid_Avx va_b0 va_s0 =
false
null
false
va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Prims.unit", "Vale.X64.CPU_Features_s.cpuid_features", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Cpuid_Avx" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Cpuid_Avx : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cpuid_Avx ()) va_s0 /\ va_get_ok va_s0 /\ va_get_reg64 rRax va_s0 = 1)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ Vale.Arch.Types.iand64 (va_get_reg64 rRcx va_sM) 268435456 > 0 == avx_cpuid_enabled /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))))
[]
Vale.X64.InsBasic.va_lemma_Cpuid_Avx
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 718, "start_col": 2, "start_line": 713 }
Prims.Ghost
val va_lemma_Shl64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Shl64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishl64 (va_eval_dst_opr64 va_s0 dst) (va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM)
val va_lemma_Shl64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Shl64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishl64 (va_eval_dst_opr64 va_s0 dst) (va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Shl64 va_b0 va_s0 dst amt =
false
null
false
va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_shift_amt64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Shl64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Shl64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Shl64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Shl64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishl64 (va_eval_dst_opr64 va_s0 dst) (va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Shl64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> amt: Vale.X64.Decls.va_operand_shift_amt64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 561, "start_col": 2, "start_line": 557 }
Prims.Ghost
val va_wpProof_Mov64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mov64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mov64 dst src) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Mov64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mov64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mov64 dst src) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Mov64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Mov64", "Vale.X64.InsBasic.va_code_Mov64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Mov64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mov64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mov64 dst src) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Mov64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 40, "start_col": 41, "start_line": 34 }
Prims.Ghost
val va_lemma_Adc64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adc64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ va_eval_opr64 va_s0 src + va_eval_dst_opr64 va_s0 dst + 1 < pow2_64 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Adc64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adc64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ va_eval_opr64 va_s0 src + va_eval_dst_opr64 va_s0 dst + 1 < pow2_64 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Adc64 va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_AddCarry64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Adc64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Adc64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adc64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ va_eval_opr64 va_s0 src + va_eval_dst_opr64 va_s0 dst + 1 < pow2_64 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Adc64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 177, "start_col": 2, "start_line": 173 }
Prims.Ghost
val va_wpProof_Cmovc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cmovc64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cmovc64 dst src) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cmovc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cmovc64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cmovc64 dst src) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cmovc64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cmovc64", "Vale.X64.InsBasic.va_code_Cmovc64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cmovc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cmovc64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cmovc64 dst src) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cmovc64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 69, "start_col": 43, "start_line": 63 }
Prims.Ghost
val va_wpProof_Add64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Add64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Add64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Add64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Add64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Add64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Add64Wrap dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Add64Wrap", "Vale.X64.InsBasic.va_code_Add64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Add64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Add64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Add64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Add64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 129, "start_col": 45, "start_line": 122 }
Prims.Ghost
val va_wpProof_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_AddLea64 dst src1 src2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddLea64 dst src1 src2) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_AddLea64 dst src1 src2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddLea64 dst src1 src2) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_AddLea64", "Vale.X64.InsBasic.va_code_AddLea64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_AddLea64 : dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_AddLea64 dst src1 src2 va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_AddLea64 dst src1 src2) ([va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_AddLea64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src1: Vale.X64.Decls.va_operand_opr64 -> src2: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 158, "start_col": 50, "start_line": 152 }
Prims.Ghost
val va_lemma_Cmovc64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cmovc64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (if Vale.X64.Decls.cf (va_get_flags va_sM) then (va_eval_dst_opr64 va_sM dst = va_eval_opr64 va_s0 src) else (va_eval_dst_opr64 va_sM dst = va_eval_dst_opr64 va_s0 dst)) /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Cmovc64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cmovc64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (if Vale.X64.Decls.cf (va_get_flags va_sM) then (va_eval_dst_opr64 va_sM dst = va_eval_opr64 va_s0 src) else (va_eval_dst_opr64 va_sM dst = va_eval_dst_opr64 va_s0 dst)) /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))) let va_lemma_Cmovc64 va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cmovc64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Cmovc64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Cmovc64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Cmovc64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (if Vale.X64.Decls.cf (va_get_flags va_sM) then (va_eval_dst_opr64 va_sM dst = va_eval_opr64 va_s0 src) else (va_eval_dst_opr64 va_sM dst = va_eval_dst_opr64 va_s0 dst)) /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))
[]
Vale.X64.InsBasic.va_lemma_Cmovc64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 59, "start_col": 2, "start_line": 55 }
Prims.Ghost
val va_lemma_Shr64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Shr64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishr64 (va_eval_dst_opr64 va_s0 dst) (va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM)
val va_lemma_Shr64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Shr64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishr64 (va_eval_dst_opr64 va_s0 dst) (va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Shr64 va_b0 va_s0 dst amt =
false
null
false
va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_shift_amt64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Shr64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Shr64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Shr64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Shr64 dst amt) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_shift_amt64 amt va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.ishr64 (va_eval_dst_opr64 va_s0 dst) (va_eval_shift_amt64 va_s0 amt) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Shr64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> amt: Vale.X64.Decls.va_operand_shift_amt64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 591, "start_col": 2, "start_line": 587 }
Prims.Ghost
val va_wpProof_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adc64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adc64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adc64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adc64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Adc64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Adc64", "Vale.X64.InsBasic.va_code_Adc64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Adc64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adc64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adc64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Adc64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 188, "start_col": 41, "start_line": 181 }
Prims.Ghost
val va_lemma_And64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_And64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.iand64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_And64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_And64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.iand64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_And64 va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_And64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_And64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_And64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_And64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.iand64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_And64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 531, "start_col": 2, "start_line": 527 }
Prims.Tot
val va_codegen_success_Mul64Wrap : src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Mul64Wrap src = (va_ttrue ())
val va_codegen_success_Mul64Wrap : src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Mul64Wrap src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Mul64Wrap : src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Mul64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 394, "start_col": 2, "start_line": 394 }
Prims.Tot
val va_code_Mul64Wrap : src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src))
val va_code_Mul64Wrap : src:va_operand_opr64 -> Tot va_code let va_code_Mul64Wrap src =
false
null
false
(mk_ins (make_instr (I.ins_Mul64) src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRdx", "Vale.X64.Instruction_s.inOut", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.op64", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Mul64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Mul64Wrap : src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Mul64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 41, "end_line": 390, "start_col": 2, "start_line": 390 }
Prims.Tot
val va_code_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src))
val va_code_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_IMul64 dst src =
false
null
false
(mk_ins (make_instr (I.ins_IMul64) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_IMul64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_IMul64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 46, "end_line": 456, "start_col": 2, "start_line": 456 }
Prims.Tot
val va_code_Mulx64 : dst_hi:va_operand_dst_opr64 -> dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
val va_code_Mulx64 : dst_hi:va_operand_dst_opr64 -> dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Mulx64 dst_hi dst_lo src =
false
null
false
(mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRdx", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Mulx64", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Mulx64 : dst_hi:va_operand_dst_opr64 -> dst_lo:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Mulx64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst_hi: Vale.X64.Decls.va_operand_dst_opr64 -> dst_lo: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 56, "end_line": 421, "start_col": 2, "start_line": 421 }
Prims.Tot
val va_codegen_success_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_IMul64 dst src = (va_ttrue ())
val va_codegen_success_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_IMul64 dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_IMul64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 460, "start_col": 2, "start_line": 460 }
Prims.Tot
val va_code_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
val va_code_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code let va_code_Xor64 dst src =
false
null
false
(mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr_annotate", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.opFlagsOf", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Xor64", "Vale.X64.Machine_Semantics_s.AnnotateXor64", "Vale.X64.Instruction_s.InstrTypeRecord", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Xor64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_code
{ "end_col": 75, "end_line": 488, "start_col": 2, "start_line": 488 }
Prims.Tot
val va_codegen_success_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Xor64 dst src = (va_ttrue ())
val va_codegen_success_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool let va_codegen_success_Xor64 dst src =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Xor64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Xor64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 492, "start_col": 2, "start_line": 492 }
Prims.Ghost
val va_lemma_Sub64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Sub64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.sub_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src < 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Sub64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Sub64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.sub_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src < 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Sub64Wrap va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Sub64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Sub64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Sub64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Sub64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.sub_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src < 0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Sub64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 333, "start_col": 2, "start_line": 329 }
Prims.Tot
val va_codegen_success_Shl64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Shl64 dst amt = (va_ttrue ())
val va_codegen_success_Shl64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Tot va_pbool let va_codegen_success_Shl64 dst amt =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_shift_amt64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Shl64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Shl64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> amt: Vale.X64.Decls.va_operand_shift_amt64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 553, "start_col": 2, "start_line": 553 }
Prims.Tot
val va_codegen_success_Shr64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Shr64 dst amt = (va_ttrue ())
val va_codegen_success_Shr64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Tot va_pbool let va_codegen_success_Shr64 dst amt =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_shift_amt64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Shr64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Shr64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> amt: Vale.X64.Decls.va_operand_shift_amt64 -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 583, "start_col": 2, "start_line": 583 }
Prims.Ghost
val va_lemma_Adcx64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adcx64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ Vale.X64.Decls.maintained_of (va_get_flags va_sM) (va_get_flags va_s0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM)
val va_lemma_Adcx64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adcx64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ Vale.X64.Decls.maintained_of (va_get_flags va_sM) (va_get_flags va_s0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Adcx64Wrap va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Prims.unit", "Prims._assert", "Prims.eq2", "Prims.int", "Vale.Arch.Types.add_wrap64", "Vale.X64.Decls.va_eval_dst_opr64", "Vale.X64.Decls.va_eval_opr64", "Vale.X64.Decls.cf", "Vale.X64.Decls.va_get_flags", "Prims.bool", "Vale.Def.Words_s.nat64", "Prims.op_Modulus", "Prims.op_Addition", "Vale.X64.Machine_s.pow2_64", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Adcx64", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Adcx64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Adcx64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adcx64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ Vale.X64.Decls.maintained_of (va_get_flags va_sM) (va_get_flags va_s0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Adcx64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 242, "start_col": 2, "start_line": 234 }
Prims.Tot
val va_code_Cpuid_AES : va_dummy:unit -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid)))
val va_code_Cpuid_AES : va_dummy:unit -> Tot va_code let va_code_Cpuid_AES () =
false
null
false
(mk_ins (make_instr (I.ins_Cpuid)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Cpuid_AES : va_dummy:unit -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Cpuid_AES
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 37, "end_line": 609, "start_col": 2, "start_line": 609 }
Prims.Tot
val va_codegen_success_Cpuid_AES : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cpuid_AES () = (va_ttrue ())
val va_codegen_success_Cpuid_AES : va_dummy:unit -> Tot va_pbool let va_codegen_success_Cpuid_AES () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cpuid_AES : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cpuid_AES
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 613, "start_col": 2, "start_line": 613 }
Prims.Tot
val va_code_Cpuid_Adx_Bmi2 : va_dummy:unit -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid)))
val va_code_Cpuid_Adx_Bmi2 : va_dummy:unit -> Tot va_code let va_code_Cpuid_Adx_Bmi2 () =
false
null
false
(mk_ins (make_instr (I.ins_Cpuid)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Cpuid_Adx_Bmi2 : va_dummy:unit -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Cpuid_Adx_Bmi2
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 37, "end_line": 673, "start_col": 2, "start_line": 673 }
Prims.Tot
val va_code_Cpuid_Avx : va_dummy:unit -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid)))
val va_code_Cpuid_Avx : va_dummy:unit -> Tot va_code let va_code_Cpuid_Avx () =
false
null
false
(mk_ins (make_instr (I.ins_Cpuid)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Cpuid_Avx : va_dummy:unit -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Cpuid_Avx
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 37, "end_line": 705, "start_col": 2, "start_line": 705 }
Prims.Ghost
val va_lemma_Mov64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mov64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Mov64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mov64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))) let va_lemma_Mov64 va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr_annotate", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Mov64", "Vale.X64.Machine_Semantics_s.AnnotateMov64", "Vale.X64.Instruction_s.InstrTypeRecord", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Mov64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Mov64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mov64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))
[]
Vale.X64.InsBasic.va_lemma_Mov64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 30, "start_col": 2, "start_line": 25 }
Prims.Tot
val va_codegen_success_Cpuid_Adx_Bmi2 : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ())
val va_codegen_success_Cpuid_Adx_Bmi2 : va_dummy:unit -> Tot va_pbool let va_codegen_success_Cpuid_Adx_Bmi2 () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cpuid_Adx_Bmi2 : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cpuid_Adx_Bmi2
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 677, "start_col": 2, "start_line": 677 }
Prims.Ghost
val va_lemma_Add64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Add64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ va_eval_opr64 va_s0 src + va_eval_dst_opr64 va_s0 dst < pow2_64)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Add64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Add64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ va_eval_opr64 va_s0 src + va_eval_dst_opr64 va_s0 dst < pow2_64)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Add64 va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Add64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Add64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Add64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Add64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ va_eval_opr64 va_s0 src + va_eval_dst_opr64 va_s0 dst < pow2_64)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Add64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 88, "start_col": 2, "start_line": 84 }
Prims.Ghost
val va_wpProof_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adcx64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adcx64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adcx64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adcx64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Adcx64Wrap dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Adcx64Wrap", "Vale.X64.InsBasic.va_code_Adcx64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Adcx64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adcx64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adcx64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Adcx64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 253, "start_col": 46, "start_line": 246 }
Prims.Ghost
val va_lemma_AddLea64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AddLea64 dst src1 src2) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src1 va_s0 /\ va_is_src_opr64 src2 va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.max_one_mem src1 src2 /\ va_eval_opr64 va_s0 src1 + va_eval_opr64 va_s0 src2 < pow2_64)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_opr64 va_s0 src1 + va_eval_opr64 va_s0 src2 /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM)
val va_lemma_AddLea64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AddLea64 dst src1 src2) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src1 va_s0 /\ va_is_src_opr64 src2 va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.max_one_mem src1 src2 /\ va_eval_opr64 va_s0 src1 + va_eval_opr64 va_s0 src2 < pow2_64)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_opr64 va_s0 src1 + va_eval_opr64 va_s0 src2 /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))) let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 =
false
null
false
va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_AddLea64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_AddLea64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_AddLea64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src1:va_operand_opr64 -> src2:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_AddLea64 dst src1 src2) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src1 va_s0 /\ va_is_src_opr64 src2 va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.max_one_mem src1 src2 /\ va_eval_opr64 va_s0 src1 + va_eval_opr64 va_s0 src2 < pow2_64)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_opr64 va_s0 src1 + va_eval_opr64 va_s0 src2 /\ va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))
[]
Vale.X64.InsBasic.va_lemma_AddLea64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src1: Vale.X64.Decls.va_operand_opr64 -> src2: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 148, "start_col": 2, "start_line": 144 }
Prims.Tot
val va_code_Cpuid_Avx2 : va_dummy:unit -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid)))
val va_code_Cpuid_Avx2 : va_dummy:unit -> Tot va_code let va_code_Cpuid_Avx2 () =
false
null
false
(mk_ins (make_instr (I.ins_Cpuid)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Cpuid_Avx2 : va_dummy:unit -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Cpuid_Avx2
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 37, "end_line": 737, "start_col": 2, "start_line": 737 }
Prims.Tot
val va_code_Cpuid_Sse : va_dummy:unit -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid)))
val va_code_Cpuid_Sse : va_dummy:unit -> Tot va_code let va_code_Cpuid_Sse () =
false
null
false
(mk_ins (make_instr (I.ins_Cpuid)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Cpuid_Sse : va_dummy:unit -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Cpuid_Sse
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 37, "end_line": 769, "start_col": 2, "start_line": 769 }
Prims.Tot
val va_codegen_success_Cpuid_Sse : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cpuid_Sse () = (va_ttrue ())
val va_codegen_success_Cpuid_Sse : va_dummy:unit -> Tot va_pbool let va_codegen_success_Cpuid_Sse () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cpuid_Sse : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cpuid_Sse
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 773, "start_col": 2, "start_line": 773 }
Prims.Tot
val va_codegen_success_Cpuid_Movbe : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cpuid_Movbe () = (va_ttrue ())
val va_codegen_success_Cpuid_Movbe : va_dummy:unit -> Tot va_pbool let va_codegen_success_Cpuid_Movbe () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cpuid_Movbe : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cpuid_Movbe
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 805, "start_col": 2, "start_line": 805 }
Prims.Ghost
val va_wpProof_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adox64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adox64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adox64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adox64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Adox64Wrap dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Adox64Wrap", "Vale.X64.InsBasic.va_code_Adox64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Adox64Wrap : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Adox64Wrap dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Adox64Wrap dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Adox64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 284, "start_col": 46, "start_line": 277 }
Prims.Ghost
val va_wpProof_Sub64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sub64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sub64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Sub64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sub64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sub64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Sub64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Sub64", "Vale.X64.InsBasic.va_code_Sub64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Sub64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Sub64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Sub64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Sub64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 314, "start_col": 41, "start_line": 307 }
Prims.Tot
val va_code_Cpuid_Rdrand : va_dummy:unit -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid)))
val va_code_Cpuid_Rdrand : va_dummy:unit -> Tot va_code let va_code_Cpuid_Rdrand () =
false
null
false
(mk_ins (make_instr (I.ins_Cpuid)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRax", "Vale.X64.Instruction_s.out", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRdx", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Cpuid", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Cpuid_Rdrand : va_dummy:unit -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Cpuid_Rdrand
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 37, "end_line": 833, "start_col": 2, "start_line": 833 }
Prims.Tot
val va_codegen_success_Cpuid_Rdrand : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ())
val va_codegen_success_Cpuid_Rdrand : va_dummy:unit -> Tot va_pbool let va_codegen_success_Cpuid_Rdrand () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cpuid_Rdrand : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cpuid_Rdrand
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 837, "start_col": 2, "start_line": 837 }
Prims.Tot
val va_codegen_success_Cpuid_Avx512 : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ())
val va_codegen_success_Cpuid_Avx512 : va_dummy:unit -> Tot va_pbool let va_codegen_success_Cpuid_Avx512 () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cpuid_Avx512 : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cpuid_Avx512
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 869, "start_col": 2, "start_line": 869 }
Prims.Tot
val va_codegen_success_Cpuid_Osxsave : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ())
val va_codegen_success_Cpuid_Osxsave : va_dummy:unit -> Tot va_pbool let va_codegen_success_Cpuid_Osxsave () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Cpuid_Osxsave : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Cpuid_Osxsave
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 901, "start_col": 2, "start_line": 901 }
Prims.Ghost
val va_lemma_Add64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Add64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Add64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Add64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Add64Wrap va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Add64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Add64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Add64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Add64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Add64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 118, "start_col": 2, "start_line": 114 }
Prims.Tot
val va_codegen_success_Xgetbv_Avx : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Xgetbv_Avx () = (va_ttrue ())
val va_codegen_success_Xgetbv_Avx : va_dummy:unit -> Tot va_pbool let va_codegen_success_Xgetbv_Avx () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Xgetbv_Avx : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Xgetbv_Avx
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 933, "start_col": 2, "start_line": 933 }
Prims.Tot
val va_codegen_success_Xgetbv_Avx512 : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ())
val va_codegen_success_Xgetbv_Avx512 : va_dummy:unit -> Tot va_pbool let va_codegen_success_Xgetbv_Avx512 () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Xgetbv_Avx512 : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Xgetbv_Avx512
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 964, "start_col": 2, "start_line": 964 }
Prims.Ghost
val va_wpProof_Mul64Wrap : src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mul64Wrap src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mul64Wrap src) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Mul64Wrap : src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mul64Wrap src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mul64Wrap src) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Mul64Wrap src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_flags", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Mul64Wrap", "Vale.X64.InsBasic.va_code_Mul64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Mul64Wrap : src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Mul64Wrap src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Mul64Wrap src) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Mul64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 414, "start_col": 41, "start_line": 407 }
Prims.Ghost
val va_lemma_Adc64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adc64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Adc64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adc64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Adc64Wrap va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_AddCarry64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Adc64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Adc64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adc64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ Vale.X64.Decls.valid_cf (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_cf (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.cf (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Adc64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 207, "start_col": 2, "start_line": 203 }
Prims.Tot
val va_codegen_success_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ()))))
val va_codegen_success_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> Tot va_pbool let va_codegen_success_Nat64Equal dst src =
false
null
false
(va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ()))))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Vale.X64.Decls.va_operand_reg_opr64", "Vale.X64.Decls.va_pbool_and", "Vale.X64.InsBasic.va_codegen_success_Sub64Wrap", "Vale.X64.Decls.va_coerce_reg_opr64_to_dst_opr64", "Vale.X64.Decls.va_const_opr64", "Vale.X64.InsBasic.va_codegen_success_Mov64", "Vale.X64.InsBasic.va_codegen_success_Adc64", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Nat64Equal : dst:va_operand_reg_opr64 -> src:va_operand_reg_opr64 -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Nat64Equal
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_reg_opr64 -> src: Vale.X64.Decls.va_operand_reg_opr64 -> Vale.X64.Decls.va_pbool
{ "end_col": 10, "end_line": 1002, "start_col": 2, "start_line": 998 }
Prims.Ghost
val va_wpProof_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_IMul64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_IMul64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_IMul64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_IMul64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_IMul64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_IMul64", "Vale.X64.InsBasic.va_code_IMul64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_IMul64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_IMul64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_IMul64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_IMul64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 481, "start_col": 42, "start_line": 474 }
Prims.Tot
val va_codegen_success_Comment : c:string -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Comment c = (va_ttrue ())
val va_codegen_success_Comment : c:string -> Tot va_pbool let va_codegen_success_Comment c =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.string", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Comment : c:string -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Comment
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
c: Prims.string -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 1044, "start_col": 2, "start_line": 1044 }
Prims.Ghost
val va_lemma_Sub64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Sub64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ 0 <= va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Sub64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Sub64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ 0 <= va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Sub64 va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.opFlagsCf", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Sub64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Sub64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Sub64 : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Sub64 dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ 0 <= va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == va_eval_dst_opr64 va_s0 dst - va_eval_opr64 va_s0 src /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Sub64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 303, "start_col": 2, "start_line": 299 }
Prims.Tot
val va_code_LargeComment : c:string -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
val va_code_LargeComment : c:string -> Tot va_code let va_code_LargeComment c =
false
null
false
(mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.string", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr_annotate", "Prims.Nil", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_LargeComment", "Vale.X64.Machine_Semantics_s.AnnotateLargeComment", "Vale.X64.Instruction_s.InstrTypeRecord", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_LargeComment : c:string -> Tot va_code
[]
Vale.X64.InsBasic.va_code_LargeComment
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
c: Prims.string -> Vale.X64.Decls.va_code
{ "end_col": 82, "end_line": 1070, "start_col": 2, "start_line": 1070 }
Prims.Tot
val va_codegen_success_LargeComment : c:string -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_LargeComment c = (va_ttrue ())
val va_codegen_success_LargeComment : c:string -> Tot va_pbool let va_codegen_success_LargeComment c =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.string", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"] let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_LargeComment : c:string -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_LargeComment
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
c: Prims.string -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 1074, "start_col": 2, "start_line": 1074 }
Prims.Ghost
val va_wpProof_And64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_And64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_And64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_And64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_And64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_And64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_And64 dst src va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_And64", "Vale.X64.InsBasic.va_code_And64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_And64 : dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_And64 dst src va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_And64 dst src) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_And64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 542, "start_col": 41, "start_line": 535 }
Prims.Ghost
val va_wpProof_Shr64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Shr64 dst amt va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Shr64 dst amt) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Shr64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Shr64 dst amt va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Shr64 dst amt) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Shr64 dst amt va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_shift_amt64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Shr64", "Vale.X64.InsBasic.va_code_Shr64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Shr64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Shr64 dst amt va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Shr64 dst amt) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Shr64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> amt: Vale.X64.Decls.va_operand_shift_amt64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 602, "start_col": 41, "start_line": 595 }
Prims.Ghost
val va_wpProof_Shl64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Shl64 dst amt va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Shl64 dst amt) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Shl64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Shl64 dst amt va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Shl64 dst amt) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Shl64 dst amt va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_shift_amt64", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_mod_dst_opr64", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_operand_dst_opr64", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Shl64", "Vale.X64.InsBasic.va_code_Shl64" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Shl64 : dst:va_operand_dst_opr64 -> amt:va_operand_shift_amt64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Shl64 dst amt va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Shl64 dst amt) ([va_Mod_flags; va_mod_dst_opr64 dst]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Shl64
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
dst: Vale.X64.Decls.va_operand_dst_opr64 -> amt: Vale.X64.Decls.va_operand_shift_amt64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 572, "start_col": 41, "start_line": 565 }
Prims.Tot
val va_code_NoNewline : va_dummy:unit -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_NoNewline () = (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
val va_code_NoNewline : va_dummy:unit -> Tot va_code let va_code_NoNewline () =
false
null
false
(mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr_annotate", "Prims.Nil", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Space", "Vale.X64.Machine_Semantics_s.AnnotateSpace", "Vale.X64.Instruction_s.InstrTypeRecord", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"] let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) [@ "opaque_to_smt"] let va_codegen_success_LargeComment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_LargeComment va_b0 va_s0 c = va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_LargeComment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- NoNewline [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_NoNewline : va_dummy:unit -> Tot va_code
[]
Vale.X64.InsBasic.va_code_NoNewline
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_code
{ "end_col": 68, "end_line": 1101, "start_col": 2, "start_line": 1101 }
Prims.Ghost
val va_lemma_Mul64Wrap : va_b0:va_code -> va_s0:va_state -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mul64Wrap src) va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_mul_nat pow2_64 (va_get_reg64 rRdx va_sM) + va_get_reg64 rRax va_sM == va_mul_nat (va_get_reg64 rRax va_s0) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM)
val va_lemma_Mul64Wrap : va_b0:va_code -> va_s0:va_state -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mul64Wrap src) va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_mul_nat pow2_64 (va_get_reg64 rRdx va_sM) + va_get_reg64 rRax va_sM == va_mul_nat (va_get_reg64 rRax va_s0) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0)))))) let va_lemma_Mul64Wrap va_b0 va_s0 src =
false
null
false
va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Prims.unit", "Vale.X64.InsBasic.lemma_fundamental_div_mod", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_eval_opr64", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.out", "Vale.X64.Instruction_s.one64Reg", "Vale.X64.Machine_s.rRdx", "Vale.X64.Instruction_s.inOut", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.op64", "Vale.X64.Instruction_s.HavocFlags", "Vale.X64.Instructions_s.ins_Mul64", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Mul64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Mul64Wrap : va_b0:va_code -> va_s0:va_state -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Mul64Wrap src) va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_mul_nat pow2_64 (va_get_reg64 rRdx va_sM) + va_get_reg64 rRax va_sM == va_mul_nat (va_get_reg64 rRax va_s0) (va_eval_opr64 va_s0 src) /\ va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))))
[]
Vale.X64.InsBasic.va_lemma_Mul64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 403, "start_col": 2, "start_line": 398 }
Prims.Tot
val va_codegen_success_NoNewline : va_dummy:unit -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_NoNewline () = (va_ttrue ())
val va_codegen_success_NoNewline : va_dummy:unit -> Tot va_pbool let va_codegen_success_NoNewline () =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.unit", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"] let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) [@ "opaque_to_smt"] let va_codegen_success_LargeComment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_LargeComment va_b0 va_s0 c = va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_LargeComment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- NoNewline [@ "opaque_to_smt"] let va_code_NoNewline () = (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_NoNewline : va_dummy:unit -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_NoNewline
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_dummy: Prims.unit -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 1105, "start_col": 2, "start_line": 1105 }
Prims.Ghost
val va_wpProof_Cpuid_Avx : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
val va_wpProof_Cpuid_Avx : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g)))) let va_wpProof_Cpuid_Avx va_s0 va_k =
false
null
false
let va_sM, va_f0 = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))) ); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.X64.InsBasic.va_lemma_Cpuid_Avx", "Vale.X64.InsBasic.va_code_Cpuid_Avx" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM)
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_wpProof_Cpuid_Avx : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Cpuid_Avx va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Cpuid_Avx ()) ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_s0 va_k ((va_sM, va_f0, va_g))))
[]
Vale.X64.InsBasic.va_wpProof_Cpuid_Avx
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
{ "end_col": 22, "end_line": 730, "start_col": 37, "start_line": 722 }
Prims.Tot
val va_code_Space : n:nat -> Tot va_code
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_code_Space n = (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
val va_code_Space : n:nat -> Tot va_code let va_code_Space n =
false
null
false
(mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n)))
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr_annotate", "Prims.Nil", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Space", "Vale.X64.Machine_Semantics_s.AnnotateSpace", "Vale.X64.Instruction_s.InstrTypeRecord", "Vale.X64.Decls.va_code" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"] let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) [@ "opaque_to_smt"] let va_codegen_success_LargeComment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_LargeComment va_b0 va_s0 c = va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_LargeComment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- NoNewline [@ "opaque_to_smt"] let va_code_NoNewline () = (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) [@ "opaque_to_smt"] let va_codegen_success_NoNewline () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_NoNewline va_b0 va_s0 = va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_NoNewline va_s0 va_k = let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Newline [@ "opaque_to_smt"] let va_code_Newline () = (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) [@ "opaque_to_smt"] let va_codegen_success_Newline () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Newline va_b0 va_s0 = va_reveal_opaque (`%va_code_Newline) (va_code_Newline ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Newline va_s0 va_k = let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Space [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_code_Space : n:nat -> Tot va_code
[]
Vale.X64.InsBasic.va_code_Space
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
n: Prims.nat -> Vale.X64.Decls.va_code
{ "end_col": 68, "end_line": 1161, "start_col": 2, "start_line": 1161 }
Prims.Tot
val va_codegen_success_Space : n:nat -> Tot va_pbool
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_codegen_success_Space n = (va_ttrue ())
val va_codegen_success_Space : n:nat -> Tot va_pbool let va_codegen_success_Space n =
false
null
false
(va_ttrue ())
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[ "total" ]
[ "Prims.nat", "Vale.X64.Decls.va_ttrue", "Vale.X64.Decls.va_pbool" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adox64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adox64Wrap (va_code_Adox64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64 [@ "opaque_to_smt"] let va_code_Sub64 dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64) (va_code_Sub64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64 (va_code_Sub64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sub64Wrap [@ "opaque_to_smt"] let va_code_Sub64Wrap dst src = (mk_ins (make_instr (I.ins_Sub64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sub64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sub64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sub64Wrap) (va_code_Sub64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sub64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sub64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sub64Wrap (va_code_Sub64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Sbb64 [@ "opaque_to_smt"] let va_code_Sbb64 dst src = (mk_ins (make_instr (I.ins_Sbb64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Sbb64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Sbb64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Sbb64) (va_code_Sbb64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Sbb64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Sbb64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Sbb64 (va_code_Sbb64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- #restart-solver #push-options "--max_fuel 0 --max_ifuel 0 --using_facts_from 'Prims FStar.UInt'" let lemma_fundamental_div_mod (a b:nat64) : Lemma (pow2_64 * (FStar.UInt.mul_div #64 a b) + (FStar.UInt.mul_mod #64 a b) == a * b) = FStar.Math.Lemmas.lemma_div_mod (a * b) pow2_64 #pop-options //-- lemma_fundamental_div_mod //-- //-- Mul64Wrap [@ "opaque_to_smt"] let va_code_Mul64Wrap src = (mk_ins (make_instr (I.ins_Mul64) src)) [@ "opaque_to_smt"] let va_codegen_success_Mul64Wrap src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mul64Wrap va_b0 va_s0 src = va_reveal_opaque (`%va_code_Mul64Wrap) (va_code_Mul64Wrap src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mul64) src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mul64) src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRax va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mul64Wrap src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mul64Wrap (va_code_Mul64Wrap src) va_s0 src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_flags va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Mulx64 [@ "opaque_to_smt"] let va_code_Mulx64 dst_hi dst_lo src = (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) [@ "opaque_to_smt"] let va_codegen_success_Mulx64 dst_hi dst_lo src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mulx64 va_b0 va_s0 dst_hi dst_lo src = va_reveal_opaque (`%va_code_Mulx64) (va_code_Mulx64 dst_hi dst_lo src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Mulx64) dst_hi dst_lo src)) va_s0 in lemma_fundamental_div_mod (va_get_reg64 rRdx va_old_s) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mulx64 dst_hi dst_lo src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mulx64 (va_code_Mulx64 dst_hi dst_lo src) va_s0 dst_hi dst_lo src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst_lo va_sM (va_update_operand_dst_opr64 dst_hi va_sM va_s0)))); va_lemma_norm_mods ([va_mod_dst_opr64 dst_lo; va_mod_dst_opr64 dst_hi]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- lemma_mul_nat //-- //-- lemma_mul_in_bounds //-- //-- IMul64 [@ "opaque_to_smt"] let va_code_IMul64 dst src = (mk_ins (make_instr (I.ins_IMul64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_IMul64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_IMul64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_IMul64) (va_code_IMul64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_IMul64) dst src)) va_s0 in lemma_mul_nat (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); lemma_mul_in_bounds (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_IMul64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_IMul64 (va_code_IMul64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xor64 [@ "opaque_to_smt"] let va_code_Xor64 dst src = (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Xor64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xor64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Xor64) (va_code_Xor64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Xor64) (S.AnnotateXor64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xor64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xor64 (va_code_Xor64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- And64 [@ "opaque_to_smt"] let va_code_And64 dst src = (mk_ins (make_instr (I.ins_And64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_And64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_And64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_And64) (va_code_And64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_And64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_And64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_And64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_And64 (va_code_And64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shl64 [@ "opaque_to_smt"] let va_code_Shl64 dst amt = (mk_ins (make_instr (I.ins_Shl64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shl64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shl64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shl64) (va_code_Shl64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shl64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shl64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shl64 (va_code_Shl64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Shr64 [@ "opaque_to_smt"] let va_code_Shr64 dst amt = (mk_ins (make_instr (I.ins_Shr64) dst amt)) [@ "opaque_to_smt"] let va_codegen_success_Shr64 dst amt = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Shr64 va_b0 va_s0 dst amt = va_reveal_opaque (`%va_code_Shr64) (va_code_Shr64 dst amt); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Shr64) dst amt)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Shr64 dst amt va_s0 va_k = let (va_sM, va_f0) = va_lemma_Shr64 (va_code_Shr64 dst amt) va_s0 dst amt in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_AES [@ "opaque_to_smt"] let va_code_Cpuid_AES () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_AES () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_AES va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_AES) (va_code_Cpuid_AES ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_AES va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_AES (va_code_Cpuid_AES ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sha [@ "opaque_to_smt"] let va_code_Cpuid_Sha () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sha () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sha va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sha) (va_code_Cpuid_Sha ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sha va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sha (va_code_Cpuid_Sha ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Adx_Bmi2 [@ "opaque_to_smt"] let va_code_Cpuid_Adx_Bmi2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Adx_Bmi2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Adx_Bmi2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Adx_Bmi2) (va_code_Cpuid_Adx_Bmi2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Adx_Bmi2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Adx_Bmi2 (va_code_Cpuid_Adx_Bmi2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx [@ "opaque_to_smt"] let va_code_Cpuid_Avx () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx) (va_code_Cpuid_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx (va_code_Cpuid_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx2 [@ "opaque_to_smt"] let va_code_Cpuid_Avx2 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx2 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx2 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx2) (va_code_Cpuid_Avx2 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx2 (va_code_Cpuid_Avx2 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Sse [@ "opaque_to_smt"] let va_code_Cpuid_Sse () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Sse () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Sse va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Sse) (va_code_Cpuid_Sse ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Sse va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Sse (va_code_Cpuid_Sse ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Movbe [@ "opaque_to_smt"] let va_code_Cpuid_Movbe () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Movbe () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Movbe va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Movbe) (va_code_Cpuid_Movbe ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Movbe va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Movbe (va_code_Cpuid_Movbe ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Rdrand [@ "opaque_to_smt"] let va_code_Cpuid_Rdrand () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Rdrand () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Rdrand va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Rdrand) (va_code_Cpuid_Rdrand ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Rdrand va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Rdrand (va_code_Cpuid_Rdrand ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Avx512 [@ "opaque_to_smt"] let va_code_Cpuid_Avx512 () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Avx512) (va_code_Cpuid_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Avx512 (va_code_Cpuid_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cpuid_Osxsave [@ "opaque_to_smt"] let va_code_Cpuid_Osxsave () = (mk_ins (make_instr (I.ins_Cpuid))) [@ "opaque_to_smt"] let va_codegen_success_Cpuid_Osxsave () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cpuid_Osxsave va_b0 va_s0 = va_reveal_opaque (`%va_code_Cpuid_Osxsave) (va_code_Cpuid_Osxsave ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cpuid))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cpuid))) va_s0 in Vale.X64.CPU_Features_s.cpuid_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cpuid_Osxsave va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cpuid_Osxsave (va_code_Cpuid_Osxsave ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx [@ "opaque_to_smt"] let va_code_Xgetbv_Avx () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx) (va_code_Xgetbv_Avx ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx (va_code_Xgetbv_Avx ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Xgetbv_Avx512 [@ "opaque_to_smt"] let va_code_Xgetbv_Avx512 () = (mk_ins (make_instr (I.ins_Xgetbv))) [@ "opaque_to_smt"] let va_codegen_success_Xgetbv_Avx512 () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Xgetbv_Avx512 va_b0 va_s0 = va_reveal_opaque (`%va_code_Xgetbv_Avx512) (va_code_Xgetbv_Avx512 ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Xgetbv))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Xgetbv))) va_s0 in Vale.X64.CPU_Features_s.xgetbv_features (); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Xgetbv_Avx512 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Xgetbv_Avx512 (va_code_Xgetbv_Avx512 ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_reg64 rRdx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Nat64Equal [@ "opaque_to_smt"] let va_code_Nat64Equal dst src = (va_Block (va_CCons (va_code_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_CCons (va_code_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CCons (va_code_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_CNil ()))))) [@ "opaque_to_smt"] let va_codegen_success_Nat64Equal dst src = (va_pbool_and (va_codegen_success_Sub64Wrap (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615)) (va_pbool_and (va_codegen_success_Mov64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Adc64 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0)) (va_ttrue ())))) [@"opaque_to_smt"] let va_lemma_Nat64Equal va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Nat64Equal) (va_code_Nat64Equal dst src); let (va_old_s:va_state) = va_s0 in let (va_b1:va_codes) = va_get_block va_b0 in let (va_s2, va_fc2) = va_lemma_Sub64Wrap (va_hd va_b1) va_s0 (va_coerce_reg_opr64_to_dst_opr64 src) (va_const_opr64 18446744073709551615) in let va_b2 = va_tl va_b1 in let (va_s3, va_fc3) = va_lemma_Mov64 (va_hd va_b2) va_s2 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b3 = va_tl va_b2 in let (va_s4, va_fc4) = va_lemma_Adc64 (va_hd va_b3) va_s3 (va_coerce_reg_opr64_to_dst_opr64 dst) (va_const_opr64 0) in let va_b4 = va_tl va_b3 in let (va_sM, va_f4) = va_lemma_empty_total va_s4 va_b4 in let va_f3 = va_lemma_merge_total va_b3 va_s3 va_fc4 va_s4 va_f4 va_sM in let va_f2 = va_lemma_merge_total va_b2 va_s2 va_fc3 va_s3 va_f3 va_sM in let va_fM = va_lemma_merge_total va_b1 va_s0 va_fc2 va_s2 va_f2 va_sM in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Nat64Equal dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Nat64Equal (va_code_Nat64Equal dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_reg_opr64 src va_sM (va_update_operand_reg_opr64 dst va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_mod_reg_opr64 src; va_mod_reg_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Comment [@ "opaque_to_smt"] let va_code_Comment c = (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) [@ "opaque_to_smt"] let va_codegen_success_Comment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Comment va_b0 va_s0 c = va_reveal_opaque (`%va_code_Comment) (va_code_Comment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Comment c) (S.AnnotateComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Comment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_Comment (va_code_Comment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- LargeComment [@ "opaque_to_smt"] let va_code_LargeComment c = (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) [@ "opaque_to_smt"] let va_codegen_success_LargeComment c = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_LargeComment va_b0 va_s0 c = va_reveal_opaque (`%va_code_LargeComment) (va_code_LargeComment c); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_LargeComment c) (S.AnnotateLargeComment c))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_LargeComment c va_s0 va_k = let (va_sM, va_f0) = va_lemma_LargeComment (va_code_LargeComment c) va_s0 c in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- NoNewline [@ "opaque_to_smt"] let va_code_NoNewline () = (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) [@ "opaque_to_smt"] let va_codegen_success_NoNewline () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_NoNewline va_b0 va_s0 = va_reveal_opaque (`%va_code_NoNewline) (va_code_NoNewline ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Space 0) (S.AnnotateSpace 0))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_NoNewline va_s0 va_k = let (va_sM, va_f0) = va_lemma_NoNewline (va_code_NoNewline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Newline [@ "opaque_to_smt"] let va_code_Newline () = (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) [@ "opaque_to_smt"] let va_codegen_success_Newline () = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Newline va_b0 va_s0 = va_reveal_opaque (`%va_code_Newline) (va_code_Newline ()); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Newline) (S.AnnotateNewline ()))) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Newline va_s0 va_k = let (va_sM, va_f0) = va_lemma_Newline (va_code_Newline ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM va_s0)); va_lemma_norm_mods ([]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Space [@ "opaque_to_smt"] let va_code_Space n = (mk_ins (make_instr_annotate (I.ins_Space n) (S.AnnotateSpace n))) [@ "opaque_to_smt"]
false
true
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_codegen_success_Space : n:nat -> Tot va_pbool
[]
Vale.X64.InsBasic.va_codegen_success_Space
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
n: Prims.nat -> Vale.X64.Decls.va_pbool
{ "end_col": 15, "end_line": 1165, "start_col": 2, "start_line": 1165 }
Prims.Ghost
val va_lemma_Adox64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adox64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_of (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.overflow (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_of (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.overflow (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ Vale.X64.Decls.maintained_cf (va_get_flags va_sM) (va_get_flags va_s0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[ { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": true, "full_module": "Vale.X64.Instructions_s", "short_module": "I" }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Taint_Semantics", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
false
let va_lemma_Adox64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM)
val va_lemma_Adox64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adox64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_of (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.overflow (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_of (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.overflow (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ Vale.X64.Decls.maintained_cf (va_get_flags va_sM) (va_get_flags va_s0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))))) let va_lemma_Adox64Wrap va_b0 va_s0 dst src =
false
null
false
va_reveal_opaque (`%va_code_Adox64Wrap) (va_code_Adox64Wrap dst src); let va_old_s:va_state = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0; let va_sM, va_fM = va_eval_ins (mk_ins (make_instr (I.ins_Adox64) dst src)) va_s0 in (va_sM, va_fM)
{ "checked_file": "Vale.X64.InsBasic.fst.checked", "dependencies": [ "Vale.X64.Taint_Semantics.fst.checked", "Vale.X64.StateLemmas.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Instructions_s.fsti.checked", "Vale.X64.InsLemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Arch.Types.fsti.checked", "prims.fst.checked", "FStar.UInt.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Math.Lemmas.fst.checked" ], "interface_file": true, "source_file": "Vale.X64.InsBasic.fst" }
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.X64.Decls.va_operand_dst_opr64", "Vale.X64.Decls.va_operand_opr64", "Vale.X64.State.vale_state", "Vale.X64.Lemmas.fuel", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.tuple2", "Prims.nat", "Vale.X64.Decls.va_eval_ins", "Vale.X64.Taint_Semantics.mk_ins", "Vale.X64.InsLemmas.make_instr", "Prims.Cons", "Vale.X64.Instruction_s.instr_out", "Vale.X64.Instruction_s.inOut", "Vale.X64.Instruction_s.opFlagsOf", "Vale.X64.Instruction_s.op64", "Prims.Nil", "Vale.X64.Instruction_s.instr_operand", "Vale.X64.Instruction_s.PreserveFlags", "Vale.X64.Instructions_s.ins_Adox64", "Prims.unit", "Vale.X64.Decls.va_ins_lemma", "Vale.X64.Decls.va_reveal_opaque", "Vale.X64.InsBasic.va_code_Adox64Wrap" ]
[]
module Vale.X64.InsBasic open Vale.X64 open Vale.X64.StateLemmas open Vale.X64.InsLemmas open Vale.X64.Taint_Semantics open Vale.X64.CPU_Features_s open Vale.X64.Memory open Vale.X64.Stack_i module I = Vale.X64.Instructions_s module S = Vale.X64.Machine_Semantics_s friend Vale.X64.Decls #reset-options "--initial_fuel 5 --max_fuel 5 --max_ifuel 2 --z3rlimit 20" //-- Mov64 [@ "opaque_to_smt"] let va_code_Mov64 dst src = (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Mov64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Mov64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Mov64) (va_code_Mov64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr_annotate (I.ins_Mov64) (S.AnnotateMov64 ()) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Mov64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Mov64 (va_code_Mov64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Cmovc64 [@ "opaque_to_smt"] let va_code_Cmovc64 dst src = (mk_ins (make_instr (I.ins_Cmovc64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Cmovc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Cmovc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Cmovc64) (va_code_Cmovc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Cmovc64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Cmovc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Cmovc64 (va_code_Cmovc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64 [@ "opaque_to_smt"] let va_code_Add64 dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64) (va_code_Add64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64 (va_code_Add64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Add64Wrap [@ "opaque_to_smt"] let va_code_Add64Wrap dst src = (mk_ins (make_instr (I.ins_Add64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Add64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Add64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Add64Wrap) (va_code_Add64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Add64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Add64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Add64Wrap (va_code_Add64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- AddLea64 [@ "opaque_to_smt"] let va_code_AddLea64 dst src1 src2 = (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) [@ "opaque_to_smt"] let va_codegen_success_AddLea64 dst src1 src2 = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_AddLea64 va_b0 va_s0 dst src1 src2 = va_reveal_opaque (`%va_code_AddLea64) (va_code_AddLea64 dst src1 src2); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddLea64) dst src1 src2)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_AddLea64 dst src1 src2 va_s0 va_k = let (va_sM, va_f0) = va_lemma_AddLea64 (va_code_AddLea64 dst src1 src2) va_s0 dst src1 src2 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0))); va_lemma_norm_mods ([va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64 [@ "opaque_to_smt"] let va_code_Adc64 dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64 dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64 va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64) (va_code_Adc64 dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64 dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64 (va_code_Adc64 dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adc64Wrap [@ "opaque_to_smt"] let va_code_Adc64Wrap dst src = (mk_ins (make_instr (I.ins_AddCarry64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adc64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adc64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adc64Wrap) (va_code_Adc64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_AddCarry64) dst src)) va_s0 in (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adc64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adc64Wrap (va_code_Adc64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Adcx64Wrap #push-options "--smtencoding.nl_arith_repr boxwrap" [@ "opaque_to_smt"] let va_code_Adcx64Wrap dst src = (mk_ins (make_instr (I.ins_Adcx64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adcx64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"] let va_lemma_Adcx64Wrap va_b0 va_s0 dst src = va_reveal_opaque (`%va_code_Adcx64Wrap) (va_code_Adcx64Wrap dst src); let (va_old_s:va_state) = va_s0 in va_ins_lemma (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0; let (va_sM, va_fM) = va_eval_ins (mk_ins (make_instr (I.ins_Adcx64) dst src)) va_s0 in assert (Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_old_s dst) (va_eval_opr64 va_old_s src)) (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0) == (va_eval_dst_opr64 va_old_s dst + va_eval_opr64 va_old_s src + (if Vale.X64.Decls.cf (va_get_flags va_old_s) then 1 else 0)) `op_Modulus` pow2_64); (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Adcx64Wrap dst src va_s0 va_k = let (va_sM, va_f0) = va_lemma_Adcx64Wrap (va_code_Adcx64Wrap dst src) va_s0 dst src in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))); va_lemma_norm_mods ([va_Mod_flags; va_mod_dst_opr64 dst]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Adox64Wrap [@ "opaque_to_smt"] let va_code_Adox64Wrap dst src = (mk_ins (make_instr (I.ins_Adox64) dst src)) [@ "opaque_to_smt"] let va_codegen_success_Adox64Wrap dst src = (va_ttrue ()) [@"opaque_to_smt"]
false
false
Vale.X64.InsBasic.fst
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 5, "initial_ifuel": 0, "max_fuel": 5, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 20, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
null
val va_lemma_Adox64Wrap : va_b0:va_code -> va_s0:va_state -> dst:va_operand_dst_opr64 -> src:va_operand_opr64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Adox64Wrap dst src) va_s0 /\ va_is_dst_dst_opr64 dst va_s0 /\ va_is_src_opr64 src va_s0 /\ va_get_ok va_s0 /\ adx_enabled /\ Vale.X64.Decls.valid_of (va_get_flags va_s0))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ va_eval_dst_opr64 va_sM dst == Vale.Arch.Types.add_wrap64 (Vale.Arch.Types.add_wrap64 (va_eval_dst_opr64 va_s0 dst) (va_eval_opr64 va_s0 src)) (if Vale.X64.Decls.overflow (va_get_flags va_s0) then 1 else 0) /\ Vale.X64.Decls.updated_of (va_get_flags va_sM) (va_eval_dst_opr64 va_s0 dst + va_eval_opr64 va_s0 src + (if Vale.X64.Decls.overflow (va_get_flags va_s0) then 1 else 0) >= pow2_64) /\ Vale.X64.Decls.maintained_cf (va_get_flags va_sM) (va_get_flags va_s0) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_ok va_sM (va_update_operand_dst_opr64 dst va_sM va_s0)))))
[]
Vale.X64.InsBasic.va_lemma_Adox64Wrap
{ "file_name": "obj/Vale.X64.InsBasic.fst", "git_rev": "12c5e9539c7e3c366c26409d3b86493548c4483e", "git_url": "https://github.com/hacl-star/hacl-star.git", "project_name": "hacl-star" }
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> dst: Vale.X64.Decls.va_operand_dst_opr64 -> src: Vale.X64.Decls.va_operand_opr64 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
{ "end_col": 16, "end_line": 273, "start_col": 2, "start_line": 269 }