url
stringclasses 147
values | commit
stringclasses 147
values | file_path
stringlengths 7
101
| full_name
stringlengths 1
94
| start
stringlengths 6
10
| end
stringlengths 6
11
| tactic
stringlengths 1
11.2k
| state_before
stringlengths 3
2.09M
| state_after
stringlengths 6
2.09M
|
|---|---|---|---|---|---|---|---|---|
https://github.com/MichaelStollBayreuth/EulerProducts.git
|
21e07835d1a467b99b5c3c9390d61ae69404445d
|
EulerProducts/PNT.lean
|
PNT_vonMangoldt
|
[438, 1]
|
[451, 10]
|
refine continuousOn_neg_logDeriv_ζ₁.mono fun s _ ↦ ?_
|
case refine_2
WIT : WienerIkeharaTheorem
hnv : ∀ ⦃z : ℂ⦄, z ≠ 1 → 1 ≤ z.re → ζ z ≠ 0
⊢ ContinuousOn (fun z => -deriv ζ₁ z / ζ₁ z) {s | 1 ≤ s.re}
|
case refine_2
WIT : WienerIkeharaTheorem
hnv : ∀ ⦃z : ℂ⦄, z ≠ 1 → 1 ≤ z.re → ζ z ≠ 0
s : ℂ
x✝ : s ∈ {s | 1 ≤ s.re}
⊢ s ∈ {z | z = 1 ∨ ζ z ≠ 0}
|
https://github.com/MichaelStollBayreuth/EulerProducts.git
|
21e07835d1a467b99b5c3c9390d61ae69404445d
|
EulerProducts/PNT.lean
|
PNT_vonMangoldt
|
[438, 1]
|
[451, 10]
|
specialize @hnv s
|
case refine_2
WIT : WienerIkeharaTheorem
hnv : ∀ ⦃z : ℂ⦄, z ≠ 1 → 1 ≤ z.re → ζ z ≠ 0
s : ℂ
x✝ : s ∈ {s | 1 ≤ s.re}
⊢ s ∈ {z | z = 1 ∨ ζ z ≠ 0}
|
case refine_2
WIT : WienerIkeharaTheorem
s : ℂ
x✝ : s ∈ {s | 1 ≤ s.re}
hnv : s ≠ 1 → 1 ≤ s.re → ζ s ≠ 0
⊢ s ∈ {z | z = 1 ∨ ζ z ≠ 0}
|
https://github.com/MichaelStollBayreuth/EulerProducts.git
|
21e07835d1a467b99b5c3c9390d61ae69404445d
|
EulerProducts/PNT.lean
|
PNT_vonMangoldt
|
[438, 1]
|
[451, 10]
|
simp at *
|
case refine_2
WIT : WienerIkeharaTheorem
s : ℂ
x✝ : s ∈ {s | 1 ≤ s.re}
hnv : s ≠ 1 → 1 ≤ s.re → ζ s ≠ 0
⊢ s ∈ {z | z = 1 ∨ ζ z ≠ 0}
|
case refine_2
WIT : WienerIkeharaTheorem
s : ℂ
x✝ : 1 ≤ s.re
hnv : ¬s = 1 → 1 ≤ s.re → ¬ζ s = 0
⊢ s = 1 ∨ ¬ζ s = 0
|
https://github.com/MichaelStollBayreuth/EulerProducts.git
|
21e07835d1a467b99b5c3c9390d61ae69404445d
|
EulerProducts/PNT.lean
|
PNT_vonMangoldt
|
[438, 1]
|
[451, 10]
|
tauto
|
case refine_2
WIT : WienerIkeharaTheorem
s : ℂ
x✝ : 1 ≤ s.re
hnv : ¬s = 1 → 1 ≤ s.re → ¬ζ s = 0
⊢ s = 1 ∨ ¬ζ s = 0
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_left
|
[26, 9]
|
[31, 12]
|
intro h
|
P✝ : Sort u_1
A : Typ P✝
B : Bunch P✝
⊢ ¬PreEquiv (prop A) B
|
P✝ : Sort u_1
A : Typ P✝
B : Bunch P✝
h : PreEquiv (prop A) B
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_left
|
[26, 9]
|
[31, 12]
|
generalize hA' : prop A = A' at h
|
P✝ : Sort u_1
A : Typ P✝
B : Bunch P✝
h : PreEquiv (prop A) B
⊢ False
|
P✝ : Sort u_1
A : Typ P✝
B A' : Bunch P✝
hA' : prop A = A'
h : PreEquiv A' B
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_left
|
[26, 9]
|
[31, 12]
|
induction h <;> simp at hA'
|
P✝ : Sort u_1
A : Typ P✝
B A' : Bunch P✝
hA' : prop A = A'
h : PreEquiv A' B
⊢ False
|
case subbunch
P✝ : Sort u_1
A : Typ P✝
B A' : Bunch P✝
h✝ : BunchWithHole P✝
b1✝ b2✝ : Bunch P✝
a✝ : PreEquiv b1✝ b2✝
a_ih✝ : prop A = b1✝ → False
hA' : h✝ = BunchWithHole.hole ∧ b1✝ = prop A
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_left
|
[26, 9]
|
[31, 12]
|
rcases hA' with ⟨rfl,rfl⟩
|
case subbunch
P✝ : Sort u_1
A : Typ P✝
B A' : Bunch P✝
h✝ : BunchWithHole P✝
b1✝ b2✝ : Bunch P✝
a✝ : PreEquiv b1✝ b2✝
a_ih✝ : prop A = b1✝ → False
hA' : h✝ = BunchWithHole.hole ∧ b1✝ = prop A
⊢ False
|
case subbunch.intro
P✝ : Sort u_1
A : Typ P✝
B A' b2✝ : Bunch P✝
a✝ : PreEquiv (prop A) b2✝
a_ih✝ : prop A = prop A → False
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_left
|
[26, 9]
|
[31, 12]
|
simp at *
|
case subbunch.intro
P✝ : Sort u_1
A : Typ P✝
B A' b2✝ : Bunch P✝
a✝ : PreEquiv (prop A) b2✝
a_ih✝ : prop A = prop A → False
⊢ False
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_left
|
[33, 9]
|
[38, 12]
|
intro h
|
P✝ : Sort u_1
B : Bunch P✝
⊢ ¬PreEquiv sunit B
|
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv sunit B
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_left
|
[33, 9]
|
[38, 12]
|
generalize hA' : sunit = A' at h
|
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv sunit B
⊢ False
|
P✝ : Sort u_1
B A' : Bunch P✝
hA' : sunit = A'
h : PreEquiv A' B
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_left
|
[33, 9]
|
[38, 12]
|
induction h <;> simp at hA'
|
P✝ : Sort u_1
B A' : Bunch P✝
hA' : sunit = A'
h : PreEquiv A' B
⊢ False
|
case subbunch
P✝ : Sort u_1
B A' : Bunch P✝
h✝ : BunchWithHole P✝
b1✝ b2✝ : Bunch P✝
a✝ : PreEquiv b1✝ b2✝
a_ih✝ : sunit = b1✝ → False
hA' : h✝ = BunchWithHole.hole ∧ b1✝ = sunit
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_left
|
[33, 9]
|
[38, 12]
|
rcases hA' with ⟨rfl,rfl⟩
|
case subbunch
P✝ : Sort u_1
B A' : Bunch P✝
h✝ : BunchWithHole P✝
b1✝ b2✝ : Bunch P✝
a✝ : PreEquiv b1✝ b2✝
a_ih✝ : sunit = b1✝ → False
hA' : h✝ = BunchWithHole.hole ∧ b1✝ = sunit
⊢ False
|
case subbunch.intro
P✝ : Sort u_1
B A' b2✝ : Bunch P✝
a✝ : PreEquiv sunit b2✝
a_ih✝ : sunit = sunit → False
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_left
|
[33, 9]
|
[38, 12]
|
simp at *
|
case subbunch.intro
P✝ : Sort u_1
B A' b2✝ : Bunch P✝
a✝ : PreEquiv sunit b2✝
a_ih✝ : sunit = sunit → False
⊢ False
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_left
|
[40, 9]
|
[45, 12]
|
intro h
|
P✝ : Sort u_1
B : Bunch P✝
⊢ ¬PreEquiv cunit B
|
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv cunit B
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_left
|
[40, 9]
|
[45, 12]
|
generalize hA' : cunit = A' at h
|
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv cunit B
⊢ False
|
P✝ : Sort u_1
B A' : Bunch P✝
hA' : cunit = A'
h : PreEquiv A' B
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_left
|
[40, 9]
|
[45, 12]
|
induction h <;> simp at hA'
|
P✝ : Sort u_1
B A' : Bunch P✝
hA' : cunit = A'
h : PreEquiv A' B
⊢ False
|
case subbunch
P✝ : Sort u_1
B A' : Bunch P✝
h✝ : BunchWithHole P✝
b1✝ b2✝ : Bunch P✝
a✝ : PreEquiv b1✝ b2✝
a_ih✝ : cunit = b1✝ → False
hA' : h✝ = BunchWithHole.hole ∧ b1✝ = cunit
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_left
|
[40, 9]
|
[45, 12]
|
rcases hA' with ⟨rfl,rfl⟩
|
case subbunch
P✝ : Sort u_1
B A' : Bunch P✝
h✝ : BunchWithHole P✝
b1✝ b2✝ : Bunch P✝
a✝ : PreEquiv b1✝ b2✝
a_ih✝ : cunit = b1✝ → False
hA' : h✝ = BunchWithHole.hole ∧ b1✝ = cunit
⊢ False
|
case subbunch.intro
P✝ : Sort u_1
B A' b2✝ : Bunch P✝
a✝ : PreEquiv cunit b2✝
a_ih✝ : cunit = cunit → False
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_left
|
[40, 9]
|
[45, 12]
|
simp at *
|
case subbunch.intro
P✝ : Sort u_1
B A' b2✝ : Bunch P✝
a✝ : PreEquiv cunit b2✝
a_ih✝ : cunit = cunit → False
⊢ False
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
constructor
|
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
⊢ PreEquiv B (prop A) ↔ B = (cunit ,ᵇ prop A) ∨ B = (prop A ,ᵇ cunit) ∨ B = (sunit ;ᵇ prop A) ∨ B = (prop A ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
⊢ PreEquiv B (prop A) → B = (cunit ,ᵇ prop A) ∨ B = (prop A ,ᵇ cunit) ∨ B = (sunit ;ᵇ prop A) ∨ B = (prop A ;ᵇ sunit)
case mpr
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
⊢ B = (cunit ,ᵇ prop A) ∨ B = (prop A ,ᵇ cunit) ∨ B = (sunit ;ᵇ prop A) ∨ B = (prop A ;ᵇ sunit) → PreEquiv B (prop A)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
intro h
|
case mp
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
⊢ PreEquiv B (prop A) → B = (cunit ,ᵇ prop A) ∨ B = (prop A ,ᵇ cunit) ∨ B = (sunit ;ᵇ prop A) ∨ B = (prop A ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
h : PreEquiv B (prop A)
⊢ B = (cunit ,ᵇ prop A) ∨ B = (prop A ,ᵇ cunit) ∨ B = (sunit ;ᵇ prop A) ∨ B = (prop A ;ᵇ sunit)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
generalize hA' : prop A = A' at h
|
case mp
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
h : PreEquiv B (prop A)
⊢ B = (cunit ,ᵇ prop A) ∨ B = (prop A ,ᵇ cunit) ∨ B = (sunit ;ᵇ prop A) ∨ B = (prop A ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
A' : Bunch P✝
hA' : prop A = A'
h : PreEquiv B A'
⊢ B = (cunit ,ᵇ A') ∨ B = (A' ,ᵇ cunit) ∨ B = (sunit ;ᵇ A') ∨ B = (A' ;ᵇ sunit)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
induction h <;> simp_all
|
case mp
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
A' : Bunch P✝
hA' : prop A = A'
h : PreEquiv B A'
⊢ B = (cunit ,ᵇ A') ∨ B = (A' ,ᵇ cunit) ∨ B = (sunit ;ᵇ A') ∨ B = (A' ;ᵇ sunit)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
rintro (rfl|rfl|rfl|rfl)
|
case mpr
P✝ : Sort u_1
B : Bunch P✝
A : Typ P✝
⊢ B = (cunit ,ᵇ prop A) ∨ B = (prop A ,ᵇ cunit) ∨ B = (sunit ;ᵇ prop A) ∨ B = (prop A ;ᵇ sunit) → PreEquiv B (prop A)
|
case mpr.inl
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (cunit ,ᵇ prop A) (prop A)
case mpr.inr.inl
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (prop A ,ᵇ cunit) (prop A)
case mpr.inr.inr.inl
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (sunit ;ᵇ prop A) (prop A)
case mpr.inr.inr.inr
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (prop A ;ᵇ sunit) (prop A)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
exact cunitL
|
case mpr.inl
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (cunit ,ᵇ prop A) (prop A)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
exact cunitR
|
case mpr.inr.inl
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (prop A ,ᵇ cunit) (prop A)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
exact sunitL
|
case mpr.inr.inr.inl
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (sunit ;ᵇ prop A) (prop A)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.prop_right
|
[47, 9]
|
[61, 19]
|
exact sunitR
|
case mpr.inr.inr.inr
P✝ : Sort u_1
A : Typ P✝
⊢ PreEquiv (prop A ;ᵇ sunit) (prop A)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
constructor
|
P✝ : Sort u_1
B : Bunch P✝
⊢ PreEquiv B sunit ↔ B = (cunit ,ᵇ sunit) ∨ B = (sunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ sunit) ∨ B = (sunit ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B : Bunch P✝
⊢ PreEquiv B sunit → B = (cunit ,ᵇ sunit) ∨ B = (sunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ sunit) ∨ B = (sunit ;ᵇ sunit)
case mpr
P✝ : Sort u_1
B : Bunch P✝
⊢ B = (cunit ,ᵇ sunit) ∨ B = (sunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ sunit) ∨ B = (sunit ;ᵇ sunit) → PreEquiv B sunit
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
intro h
|
case mp
P✝ : Sort u_1
B : Bunch P✝
⊢ PreEquiv B sunit → B = (cunit ,ᵇ sunit) ∨ B = (sunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ sunit) ∨ B = (sunit ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv B sunit
⊢ B = (cunit ,ᵇ sunit) ∨ B = (sunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ sunit) ∨ B = (sunit ;ᵇ sunit)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
generalize hA' : sunit = A' at h
|
case mp
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv B sunit
⊢ B = (cunit ,ᵇ sunit) ∨ B = (sunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ sunit) ∨ B = (sunit ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B A' : Bunch P✝
hA' : sunit = A'
h : PreEquiv B A'
⊢ B = (cunit ,ᵇ A') ∨ B = (A' ,ᵇ cunit) ∨ B = (A' ;ᵇ A') ∨ B = (A' ;ᵇ A')
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
induction h <;> simp_all
|
case mp
P✝ : Sort u_1
B A' : Bunch P✝
hA' : sunit = A'
h : PreEquiv B A'
⊢ B = (cunit ,ᵇ A') ∨ B = (A' ,ᵇ cunit) ∨ B = (A' ;ᵇ A') ∨ B = (A' ;ᵇ A')
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
rintro (rfl|rfl|rfl|rfl)
|
case mpr
P✝ : Sort u_1
B : Bunch P✝
⊢ B = (cunit ,ᵇ sunit) ∨ B = (sunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ sunit) ∨ B = (sunit ;ᵇ sunit) → PreEquiv B sunit
|
case mpr.inl
P✝ : Sort u_1
⊢ PreEquiv (cunit ,ᵇ sunit) sunit
case mpr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (sunit ,ᵇ cunit) sunit
case mpr.inr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (sunit ;ᵇ sunit) sunit
case mpr.inr.inr.inr
P✝ : Sort u_1
⊢ PreEquiv (sunit ;ᵇ sunit) sunit
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
exact cunitL
|
case mpr.inl
P✝ : Sort u_1
⊢ PreEquiv (cunit ,ᵇ sunit) sunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
exact cunitR
|
case mpr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (sunit ,ᵇ cunit) sunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
exact sunitL
|
case mpr.inr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (sunit ;ᵇ sunit) sunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.sunit_right
|
[63, 9]
|
[77, 19]
|
exact sunitR
|
case mpr.inr.inr.inr
P✝ : Sort u_1
⊢ PreEquiv (sunit ;ᵇ sunit) sunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
constructor
|
P✝ : Sort u_1
B : Bunch P✝
⊢ PreEquiv B cunit ↔ B = (cunit ,ᵇ cunit) ∨ B = (cunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ cunit) ∨ B = (cunit ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B : Bunch P✝
⊢ PreEquiv B cunit → B = (cunit ,ᵇ cunit) ∨ B = (cunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ cunit) ∨ B = (cunit ;ᵇ sunit)
case mpr
P✝ : Sort u_1
B : Bunch P✝
⊢ B = (cunit ,ᵇ cunit) ∨ B = (cunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ cunit) ∨ B = (cunit ;ᵇ sunit) → PreEquiv B cunit
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
intro h
|
case mp
P✝ : Sort u_1
B : Bunch P✝
⊢ PreEquiv B cunit → B = (cunit ,ᵇ cunit) ∨ B = (cunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ cunit) ∨ B = (cunit ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv B cunit
⊢ B = (cunit ,ᵇ cunit) ∨ B = (cunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ cunit) ∨ B = (cunit ;ᵇ sunit)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
generalize hA' : cunit = A' at h
|
case mp
P✝ : Sort u_1
B : Bunch P✝
h : PreEquiv B cunit
⊢ B = (cunit ,ᵇ cunit) ∨ B = (cunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ cunit) ∨ B = (cunit ;ᵇ sunit)
|
case mp
P✝ : Sort u_1
B A' : Bunch P✝
hA' : cunit = A'
h : PreEquiv B A'
⊢ B = (A' ,ᵇ A') ∨ B = (A' ,ᵇ A') ∨ B = (sunit ;ᵇ A') ∨ B = (A' ;ᵇ sunit)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
induction h <;> simp_all
|
case mp
P✝ : Sort u_1
B A' : Bunch P✝
hA' : cunit = A'
h : PreEquiv B A'
⊢ B = (A' ,ᵇ A') ∨ B = (A' ,ᵇ A') ∨ B = (sunit ;ᵇ A') ∨ B = (A' ;ᵇ sunit)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
rintro (rfl|rfl|rfl|rfl)
|
case mpr
P✝ : Sort u_1
B : Bunch P✝
⊢ B = (cunit ,ᵇ cunit) ∨ B = (cunit ,ᵇ cunit) ∨ B = (sunit ;ᵇ cunit) ∨ B = (cunit ;ᵇ sunit) → PreEquiv B cunit
|
case mpr.inl
P✝ : Sort u_1
⊢ PreEquiv (cunit ,ᵇ cunit) cunit
case mpr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (cunit ,ᵇ cunit) cunit
case mpr.inr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (sunit ;ᵇ cunit) cunit
case mpr.inr.inr.inr
P✝ : Sort u_1
⊢ PreEquiv (cunit ;ᵇ sunit) cunit
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
exact cunitL
|
case mpr.inl
P✝ : Sort u_1
⊢ PreEquiv (cunit ,ᵇ cunit) cunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
exact cunitR
|
case mpr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (cunit ,ᵇ cunit) cunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
exact sunitL
|
case mpr.inr.inr.inl
P✝ : Sort u_1
⊢ PreEquiv (sunit ;ᵇ cunit) cunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.PreEquiv.cunit_right
|
[79, 9]
|
[93, 19]
|
exact sunitR
|
case mpr.inr.inr.inr
P✝ : Sort u_1
⊢ PreEquiv (cunit ;ᵇ sunit) cunit
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
intro e
|
P : Type u_1
b1 b2 : Bunch P
h : BunchWithHole P
⊢ b1 ≈ b2 → ↑h b1 ≈ ↑h b2
|
P : Type u_1
b1 b2 : Bunch P
h : BunchWithHole P
e : b1 ≈ b2
⊢ ↑h b1 ≈ ↑h b2
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
induction e with
| rel _ _ h =>
apply EqvGen.rel
apply PreEquiv.subbunch
exact h
| refl =>
exact refl
| symm _ _ _ ih =>
exact symm ih
| trans _ _ _ _ _ ih1 ih2 =>
exact trans ih1 ih2
|
P : Type u_1
b1 b2 : Bunch P
h : BunchWithHole P
e : b1 ≈ b2
⊢ ↑h b1 ≈ ↑h b2
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
apply EqvGen.rel
|
case rel
P : Type u_1
b1 b2 : Bunch P
h✝ : BunchWithHole P
x✝ y✝ : Bunch P
h : PreEquiv x✝ y✝
⊢ ↑h✝ x✝ ≈ ↑h✝ y✝
|
case rel.a
P : Type u_1
b1 b2 : Bunch P
h✝ : BunchWithHole P
x✝ y✝ : Bunch P
h : PreEquiv x✝ y✝
⊢ PreEquiv (↑h✝ x✝) (↑h✝ y✝)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
apply PreEquiv.subbunch
|
case rel.a
P : Type u_1
b1 b2 : Bunch P
h✝ : BunchWithHole P
x✝ y✝ : Bunch P
h : PreEquiv x✝ y✝
⊢ PreEquiv (↑h✝ x✝) (↑h✝ y✝)
|
case rel.a.a
P : Type u_1
b1 b2 : Bunch P
h✝ : BunchWithHole P
x✝ y✝ : Bunch P
h : PreEquiv x✝ y✝
⊢ PreEquiv x✝ y✝
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
exact h
|
case rel.a.a
P : Type u_1
b1 b2 : Bunch P
h✝ : BunchWithHole P
x✝ y✝ : Bunch P
h : PreEquiv x✝ y✝
⊢ PreEquiv x✝ y✝
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
exact refl
|
case refl
P : Type u_1
b1 b2 : Bunch P
h : BunchWithHole P
x✝ : Bunch P
⊢ ↑h x✝ ≈ ↑h x✝
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
exact symm ih
|
case symm
P : Type u_1
b1 b2 : Bunch P
h : BunchWithHole P
x✝ y✝ : Bunch P
a✝ : EqvGen PreEquiv x✝ y✝
ih : ↑h x✝ ≈ ↑h y✝
⊢ ↑h y✝ ≈ ↑h x✝
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.subbunch
|
[127, 1]
|
[141, 24]
|
exact trans ih1 ih2
|
case trans
P : Type u_1
b1 b2 : Bunch P
h : BunchWithHole P
x✝ y✝ z✝ : Bunch P
a✝¹ : EqvGen PreEquiv x✝ y✝
a✝ : EqvGen PreEquiv y✝ z✝
ih1 : ↑h x✝ ≈ ↑h y✝
ih2 : ↑h y✝ ≈ ↑h z✝
⊢ ↑h x✝ ≈ ↑h z✝
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.hole_prop_inv
|
[157, 1]
|
[164, 8]
|
intro e
|
P : Type u_1
Γ : BunchWithHole P
A : Typ P
Δ : Bunch P
⊢ ↑Γ (prop A) ≈ Δ → ∃ Γ', Δ = ↑Γ' (prop A)
|
P : Type u_1
Γ : BunchWithHole P
A : Typ P
Δ : Bunch P
e : ↑Γ (prop A) ≈ Δ
⊢ ∃ Γ', Δ = ↑Γ' (prop A)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.hole_prop_inv
|
[157, 1]
|
[164, 8]
|
induction Δ
|
P : Type u_1
Γ : BunchWithHole P
A : Typ P
Δ : Bunch P
e : ↑Γ (prop A) ≈ Δ
⊢ ∃ Γ', Δ = ↑Γ' (prop A)
|
case prop
P : Type u_1
Γ : BunchWithHole P
A a✝ : Typ P
e : ↑Γ (prop A) ≈ prop a✝
⊢ ∃ Γ', prop a✝ = ↑Γ' (prop A)
case cunit
P : Type u_1
Γ : BunchWithHole P
A : Typ P
e : ↑Γ (prop A) ≈ cunit
⊢ ∃ Γ', cunit = ↑Γ' (prop A)
case comma
P : Type u_1
Γ : BunchWithHole P
A : Typ P
a✝¹ a✝ : Bunch P
a_ih✝¹ : ↑Γ (prop A) ≈ a✝¹ → ∃ Γ', a✝¹ = ↑Γ' (prop A)
a_ih✝ : ↑Γ (prop A) ≈ a✝ → ∃ Γ', a✝ = ↑Γ' (prop A)
e : ↑Γ (prop A) ≈ (a✝¹ ,ᵇ a✝)
⊢ ∃ Γ', (a✝¹ ,ᵇ a✝) = ↑Γ' (prop A)
case sunit
P : Type u_1
Γ : BunchWithHole P
A : Typ P
e : ↑Γ (prop A) ≈ sunit
⊢ ∃ Γ', sunit = ↑Γ' (prop A)
case semi
P : Type u_1
Γ : BunchWithHole P
A : Typ P
a✝¹ a✝ : Bunch P
a_ih✝¹ : ↑Γ (prop A) ≈ a✝¹ → ∃ Γ', a✝¹ = ↑Γ' (prop A)
a_ih✝ : ↑Γ (prop A) ≈ a✝ → ∃ Γ', a✝ = ↑Γ' (prop A)
e : ↑Γ (prop A) ≈ (a✝¹ ;ᵇ a✝)
⊢ ∃ Γ', (a✝¹ ;ᵇ a✝) = ↑Γ' (prop A)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.hole_prop_inv
|
[157, 1]
|
[164, 8]
|
case prop =>
simp at e
refine ⟨.hole,?_⟩; simp
|
P : Type u_1
Γ : BunchWithHole P
A a✝ : Typ P
e : ↑Γ (prop A) ≈ prop a✝
⊢ ∃ Γ', prop a✝ = ↑Γ' (prop A)
|
P : Type u_1
Γ : BunchWithHole P
A a✝ : Typ P
e : ↑Γ (prop A) ≈ prop a✝
⊢ a✝ = A
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.hole_prop_inv
|
[157, 1]
|
[164, 8]
|
sorry
|
case cunit
P : Type u_1
Γ : BunchWithHole P
A : Typ P
e : ↑Γ (prop A) ≈ cunit
⊢ ∃ Γ', cunit = ↑Γ' (prop A)
case comma
P : Type u_1
Γ : BunchWithHole P
A : Typ P
a✝¹ a✝ : Bunch P
a_ih✝¹ : ↑Γ (prop A) ≈ a✝¹ → ∃ Γ', a✝¹ = ↑Γ' (prop A)
a_ih✝ : ↑Γ (prop A) ≈ a✝ → ∃ Γ', a✝ = ↑Γ' (prop A)
e : ↑Γ (prop A) ≈ (a✝¹ ,ᵇ a✝)
⊢ ∃ Γ', (a✝¹ ,ᵇ a✝) = ↑Γ' (prop A)
case sunit
P : Type u_1
Γ : BunchWithHole P
A : Typ P
e : ↑Γ (prop A) ≈ sunit
⊢ ∃ Γ', sunit = ↑Γ' (prop A)
case semi
P : Type u_1
Γ : BunchWithHole P
A : Typ P
a✝¹ a✝ : Bunch P
a_ih✝¹ : ↑Γ (prop A) ≈ a✝¹ → ∃ Γ', a✝¹ = ↑Γ' (prop A)
a_ih✝ : ↑Γ (prop A) ≈ a✝ → ∃ Γ', a✝ = ↑Γ' (prop A)
e : ↑Γ (prop A) ≈ (a✝¹ ;ᵇ a✝)
⊢ ∃ Γ', (a✝¹ ;ᵇ a✝) = ↑Γ' (prop A)
|
case comma
P : Type u_1
Γ : BunchWithHole P
A : Typ P
a✝¹ a✝ : Bunch P
a_ih✝¹ : ↑Γ (prop A) ≈ a✝¹ → ∃ Γ', a✝¹ = ↑Γ' (prop A)
a_ih✝ : ↑Γ (prop A) ≈ a✝ → ∃ Γ', a✝ = ↑Γ' (prop A)
e : ↑Γ (prop A) ≈ (a✝¹ ,ᵇ a✝)
⊢ ∃ Γ', (a✝¹ ,ᵇ a✝) = ↑Γ' (prop A)
case sunit
P : Type u_1
Γ : BunchWithHole P
A : Typ P
e : ↑Γ (prop A) ≈ sunit
⊢ ∃ Γ', sunit = ↑Γ' (prop A)
case semi
P : Type u_1
Γ : BunchWithHole P
A : Typ P
a✝¹ a✝ : Bunch P
a_ih✝¹ : ↑Γ (prop A) ≈ a✝¹ → ∃ Γ', a✝¹ = ↑Γ' (prop A)
a_ih✝ : ↑Γ (prop A) ≈ a✝ → ∃ Γ', a✝ = ↑Γ' (prop A)
e : ↑Γ (prop A) ≈ (a✝¹ ;ᵇ a✝)
⊢ ∃ Γ', (a✝¹ ;ᵇ a✝) = ↑Γ' (prop A)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.hole_prop_inv
|
[157, 1]
|
[164, 8]
|
refine ⟨.hole,?_⟩
|
P : Type u_1
Γ : BunchWithHole P
A a✝ : Typ P
e : ↑Γ (prop A) ≈ prop a✝
⊢ ∃ Γ', prop a✝ = ↑Γ' (prop A)
|
P : Type u_1
Γ : BunchWithHole P
A a✝ : Typ P
e : ↑Γ (prop A) ≈ prop a✝
⊢ prop a✝ = ↑BunchWithHole.hole (prop A)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Equiv.lean
|
BunchImpl.Equiv.hole_prop_inv
|
[157, 1]
|
[164, 8]
|
simp
|
P : Type u_1
Γ : BunchWithHole P
A a✝ : Typ P
e : ↑Γ (prop A) ≈ prop a✝
⊢ prop a✝ = ↑BunchWithHole.hole (prop A)
|
P : Type u_1
Γ : BunchWithHole P
A a✝ : Typ P
e : ↑Γ (prop A) ≈ prop a✝
⊢ a✝ = A
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
constructor
|
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ (l1 ,ᵇ r1) = (l2 ,ᵇ r2) ↔ l1 = l2 ∧ r1 = r2
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ (l1 ,ᵇ r1) = (l2 ,ᵇ r2) → l1 = l2 ∧ r1 = r2
case mpr
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ l1 = l2 ∧ r1 = r2 → (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
intro h
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ (l1 ,ᵇ r1) = (l2 ,ᵇ r2) → l1 = l2 ∧ r1 = r2
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
⊢ l1 = l2 ∧ r1 = r2
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
constructor <;> (funext V; have := congrFun h V; simp at this; simp [*])
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
⊢ l1 = l2 ∧ r1 = r2
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
funext V
|
case mp.right
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
⊢ r1 = r2
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
V : Sort u_1
⊢ r1 V = r2 V
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
have := congrFun h V
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
V : Sort u_1
⊢ r1 V = r2 V
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
V : Sort u_1
this : (l1 ,ᵇ r1) V = (l2 ,ᵇ r2) V
⊢ r1 V = r2 V
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
simp at this
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
V : Sort u_1
this : (l1 ,ᵇ r1) V = (l2 ,ᵇ r2) V
⊢ r1 V = r2 V
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
V : Sort u_1
this : l1 V = l2 V ∧ r1 V = r2 V
⊢ r1 V = r2 V
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
simp [*]
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
V : Sort u_1
this : l1 V = l2 V ∧ r1 V = r2 V
⊢ r1 V = r2 V
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
rintro ⟨rfl,rfl⟩
|
case mpr
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ l1 = l2 ∧ r1 = r2 → (l1 ,ᵇ r1) = (l2 ,ᵇ r2)
|
case mpr.intro
P✝ : Sort u_1
l1 r1 : Bunch P✝
⊢ (l1 ,ᵇ r1) = (l1 ,ᵇ r1)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.comma_eq_comma
|
[52, 9]
|
[56, 26]
|
rfl
|
case mpr.intro
P✝ : Sort u_1
l1 r1 : Bunch P✝
⊢ (l1 ,ᵇ r1) = (l1 ,ᵇ r1)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
constructor
|
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ (l1 ;ᵇ r1) = (l2 ;ᵇ r2) ↔ l1 = l2 ∧ r1 = r2
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ (l1 ;ᵇ r1) = (l2 ;ᵇ r2) → l1 = l2 ∧ r1 = r2
case mpr
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ l1 = l2 ∧ r1 = r2 → (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
intro h
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ (l1 ;ᵇ r1) = (l2 ;ᵇ r2) → l1 = l2 ∧ r1 = r2
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
⊢ l1 = l2 ∧ r1 = r2
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
constructor <;> (funext V; have := congrFun h V; simp at this; simp [*])
|
case mp
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
⊢ l1 = l2 ∧ r1 = r2
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
funext V
|
case mp.right
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
⊢ r1 = r2
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
V : Sort u_1
⊢ r1 V = r2 V
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
have := congrFun h V
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
V : Sort u_1
⊢ r1 V = r2 V
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
V : Sort u_1
this : (l1 ;ᵇ r1) V = (l2 ;ᵇ r2) V
⊢ r1 V = r2 V
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
simp at this
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
V : Sort u_1
this : (l1 ;ᵇ r1) V = (l2 ;ᵇ r2) V
⊢ r1 V = r2 V
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
V : Sort u_1
this : l1 V = l2 V ∧ r1 V = r2 V
⊢ r1 V = r2 V
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
simp [*]
|
case mp.right.h
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
h : (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
V : Sort u_1
this : l1 V = l2 V ∧ r1 V = r2 V
⊢ r1 V = r2 V
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
rintro ⟨rfl,rfl⟩
|
case mpr
P✝ : Sort u_1
l1 r1 l2 r2 : Bunch P✝
⊢ l1 = l2 ∧ r1 = r2 → (l1 ;ᵇ r1) = (l2 ;ᵇ r2)
|
case mpr.intro
P✝ : Sort u_1
l1 r1 : Bunch P✝
⊢ (l1 ;ᵇ r1) = (l1 ;ᵇ r1)
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.semi_eq_semi
|
[58, 9]
|
[62, 26]
|
rfl
|
case mpr.intro
P✝ : Sort u_1
l1 r1 : Bunch P✝
⊢ (l1 ;ᵇ r1) = (l1 ;ᵇ r1)
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_comma
|
[64, 9]
|
[70, 11]
|
intro h
|
P : Sort u
b1 b2 : Bunch P
⊢ (b1 ,ᵇ b2) ≠ b1
|
P : Sort u
b1 b2 : Bunch P
h : (b1 ,ᵇ b2) = b1
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_comma
|
[64, 9]
|
[70, 11]
|
have := congrArg sizeOf h
|
P : Sort u
b1 b2 : Bunch P
h : (b1 ,ᵇ b2) = b1
⊢ False
|
P : Sort u
b1 b2 : Bunch P
h : (b1 ,ᵇ b2) = b1
this : sizeOf (b1 ,ᵇ b2) = sizeOf b1
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_comma
|
[64, 9]
|
[70, 11]
|
clear h
|
P : Sort u
b1 b2 : Bunch P
h : (b1 ,ᵇ b2) = b1
this : sizeOf (b1 ,ᵇ b2) = sizeOf b1
⊢ False
|
P : Sort u
b1 b2 : Bunch P
this : sizeOf (b1 ,ᵇ b2) = sizeOf b1
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_comma
|
[64, 9]
|
[70, 11]
|
simp [instSizeOfBunch, comma] at this
|
P : Sort u
b1 b2 : Bunch P
this : sizeOf (b1 ,ᵇ b2) = sizeOf b1
⊢ False
|
P : Sort u
b1 b2 : Bunch P
this : 1 + sizeOf (b1 PUnit.{u}) + sizeOf (b2 PUnit.{u}) = sizeOf (b1 PUnit.{u})
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_comma
|
[64, 9]
|
[70, 11]
|
linarith
|
P : Sort u
b1 b2 : Bunch P
this : 1 + sizeOf (b1 PUnit.{u}) + sizeOf (b2 PUnit.{u}) = sizeOf (b1 PUnit.{u})
⊢ False
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_right_comma
|
[72, 9]
|
[75, 40]
|
intro h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
⊢ (b1 ,ᵇ b2) ≠ b2
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ,ᵇ b2) = b2
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_right_comma
|
[72, 9]
|
[75, 40]
|
have := congrArg sizeOf h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ,ᵇ b2) = b2
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ,ᵇ b2) = b2
this : sizeOf (b1 ,ᵇ b2) = sizeOf b2
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_right_comma
|
[72, 9]
|
[75, 40]
|
clear h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ,ᵇ b2) = b2
this : sizeOf (b1 ,ᵇ b2) = sizeOf b2
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf (b1 ,ᵇ b2) = sizeOf b2
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_right_comma
|
[72, 9]
|
[75, 40]
|
simp [instSizeOfBunch, comma] at this
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf (b1 ,ᵇ b2) = sizeOf b2
⊢ False
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_left_comma
|
[77, 9]
|
[81, 11]
|
intro h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
⊢ b1 ≠ (b1 ,ᵇ b2)
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : b1 = (b1 ,ᵇ b2)
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_left_comma
|
[77, 9]
|
[81, 11]
|
have := congrArg sizeOf h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : b1 = (b1 ,ᵇ b2)
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : b1 = (b1 ,ᵇ b2)
this : sizeOf b1 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_left_comma
|
[77, 9]
|
[81, 11]
|
clear h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : b1 = (b1 ,ᵇ b2)
this : sizeOf b1 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf b1 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_left_comma
|
[77, 9]
|
[81, 11]
|
simp [instSizeOfBunch, comma] at this
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf b1 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf (b1 PUnit.{u_1}) = 1 + sizeOf (b1 PUnit.{u_1}) + sizeOf (b2 PUnit.{u_1})
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_left_comma
|
[77, 9]
|
[81, 11]
|
linarith
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf (b1 PUnit.{u_1}) = 1 + sizeOf (b1 PUnit.{u_1}) + sizeOf (b2 PUnit.{u_1})
⊢ False
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_right_comma
|
[83, 9]
|
[86, 40]
|
intro h
|
P✝ : Sort u_1
b2 b1 : Bunch P✝
⊢ b2 ≠ (b1 ,ᵇ b2)
|
P✝ : Sort u_1
b2 b1 : Bunch P✝
h : b2 = (b1 ,ᵇ b2)
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_right_comma
|
[83, 9]
|
[86, 40]
|
have := congrArg sizeOf h
|
P✝ : Sort u_1
b2 b1 : Bunch P✝
h : b2 = (b1 ,ᵇ b2)
⊢ False
|
P✝ : Sort u_1
b2 b1 : Bunch P✝
h : b2 = (b1 ,ᵇ b2)
this : sizeOf b2 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_right_comma
|
[83, 9]
|
[86, 40]
|
clear h
|
P✝ : Sort u_1
b2 b1 : Bunch P✝
h : b2 = (b1 ,ᵇ b2)
this : sizeOf b2 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
P✝ : Sort u_1
b2 b1 : Bunch P✝
this : sizeOf b2 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_self_right_comma
|
[83, 9]
|
[86, 40]
|
simp [instSizeOfBunch, comma] at this
|
P✝ : Sort u_1
b2 b1 : Bunch P✝
this : sizeOf b2 = sizeOf (b1 ,ᵇ b2)
⊢ False
|
no goals
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_semi
|
[88, 9]
|
[92, 11]
|
intro h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
⊢ (b1 ;ᵇ b2) ≠ b1
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ;ᵇ b2) = b1
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_semi
|
[88, 9]
|
[92, 11]
|
have := congrArg sizeOf h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ;ᵇ b2) = b1
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ;ᵇ b2) = b1
this : sizeOf (b1 ;ᵇ b2) = sizeOf b1
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_semi
|
[88, 9]
|
[92, 11]
|
clear h
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
h : (b1 ;ᵇ b2) = b1
this : sizeOf (b1 ;ᵇ b2) = sizeOf b1
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf (b1 ;ᵇ b2) = sizeOf b1
⊢ False
|
https://github.com/JamesGallicchio/brunched-invitations.git
|
3082c5ae68d2022b1439310f315a0038dae24e0c
|
BunchImpl/Term/Bunch.lean
|
BunchImpl.Bunch.neq_left_semi
|
[88, 9]
|
[92, 11]
|
simp [instSizeOfBunch, semi] at this
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : sizeOf (b1 ;ᵇ b2) = sizeOf b1
⊢ False
|
P✝ : Sort u_1
b1 b2 : Bunch P✝
this : 1 + sizeOf (b1 PUnit.{u_1}) + sizeOf (b2 PUnit.{u_1}) = sizeOf (b1 PUnit.{u_1})
⊢ False
|
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