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/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB_bind
|
[64, 1]
|
[81, 28]
|
cases x <;> simp [ih]
|
case Vis.a.h
T R : Type
k : T → Fitree UBE R
T✝ : Type
e✝ : UBE T✝
k✝ : T✝ → Fitree UBE T
ih :
∀ (a : T✝),
Fitree.interp UBE.handle (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp UBE.handle (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp UBE.handle (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
x : Except String T✝
⊢ (match x with
| Except.ok a => Fitree.interp UBE.handle (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
Fitree.bind
(match x with
| Except.ok a => Fitree.interp UBE.handle (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp UBE.handle (k x)
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB_bind
|
[64, 1]
|
[81, 28]
|
simp [h₁, h₂]
|
T R : Type
k : T → Fitree UBE R
T✝ : Type
e✝ : UBE T✝
k✝ : T✝ → Fitree UBE T
ih :
∀ (a : T✝),
Fitree.interp UBE.handle (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp UBE.handle (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp UBE.handle (k x)
α : Sort ?u.7562
β : Sort ?u.7563
f g : α → β
x y : α
h₁ : f = g
h₂ : x = y
⊢ f x = g y
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
induction t with
| Ret _ => rfl
| Vis _ _ ih =>
simp [interpUB', Fitree.interpExcept] at *
simp [Fitree.interp, Fitree.bind, Bind.bind]
simp [ExceptT.bind, ExceptT.mk, ExceptT.bindCont]
have fequal2 α β (f g: α → β) x y: f = g → x = y → f x = g y :=
fun h₁ h₂ => by simp [h₁, h₂]
apply fequal2; rfl; funext x
cases x <;> simp [ih]
|
T : Type
E : Type → Type
R : Type
t : Fitree (UBE +' E) T
k : T → Fitree (UBE +' E) R
⊢ interpUB' (Fitree.bind t k) =
Fitree.bind (interpUB' t) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => interpUB' (k x)
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
rfl
|
case Ret
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
r✝ : T
⊢ interpUB' (Fitree.bind (Fitree.Ret r✝) k) =
Fitree.bind (interpUB' (Fitree.Ret r✝)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => interpUB' (k x)
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
simp [interpUB', Fitree.interpExcept] at *
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
interpUB' (Fitree.bind (k✝ a) k) =
Fitree.bind (interpUB' (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => interpUB' (k x)
⊢ interpUB' (Fitree.bind (Fitree.Vis e✝ k✝) k) =
Fitree.bind (interpUB' (Fitree.Vis e✝ k✝)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => interpUB' (k x)
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
⊢ Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (Fitree.Vis e✝ k✝) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.Vis e✝ k✝)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
simp [Fitree.interp, Fitree.bind, Bind.bind]
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
⊢ Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (Fitree.Vis e✝ k✝) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.Vis e✝ k✝)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
⊢ Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝)
(ExceptT.bindCont fun t => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ t) k)) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
Fitree.bind (ExceptT.bindCont (fun t => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ t)) x)
fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
simp [ExceptT.bind, ExceptT.mk, ExceptT.bindCont]
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
⊢ Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝)
(ExceptT.bindCont fun t => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ t) k)) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
Fitree.bind (ExceptT.bindCont (fun t => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ t)) x)
fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
⊢ (Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
have fequal2 α β (f g: α → β) x y: f = g → x = y → f x = g y :=
fun h₁ h₂ => by simp [h₁, h₂]
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
⊢ (Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α : Sort ?u.10648) (β : Sort ?u.10649) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ (Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
apply fequal2
|
case Vis
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α : Sort ?u.10648) (β : Sort ?u.10649) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ (Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
case Vis.a
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝)
case Vis.a
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ (fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
rfl
|
case Vis.a
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝) =
Fitree.bind (Fitree.case UBE.handle Fitree.liftHandler T✝ e✝)
case Vis.a
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ (fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
case Vis.a
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ (fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
funext x
|
case Vis.a
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
⊢ (fun x =>
match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
fun x =>
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
case Vis.a.h
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
x : Except String T✝
⊢ (match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
cases x <;> simp [ih]
|
case Vis.a.h
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
fequal2 : ∀ (α β : Type 1) (f g : α → β) (x y : α), f = g → x = y → f x = g y
x : Except String T✝
⊢ (match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k)
| Except.error e => Fitree.ret (Except.error e)) =
Fitree.bind
(match x with
| Except.ok a => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)
| Except.error e => Fitree.ret (Except.error e))
fun x =>
match x with
| Except.error e => Fitree.ret (Except.error e)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/UB.lean
|
interpUB'_bind
|
[90, 1]
|
[107, 28]
|
simp [h₁, h₂]
|
T : Type
E : Type → Type
R : Type
k : T → Fitree (UBE +' E) R
T✝ : Type
e✝ : sum1 UBE E T✝
k✝ : T✝ → Fitree (UBE +' E) T
ih :
∀ (a : T✝),
Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (Fitree.bind (k✝ a) k) =
Fitree.bind (Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k✝ a)) fun x =>
match x with
| Except.error ε => Fitree.ret (Except.error ε)
| Except.ok x => Fitree.interp (Fitree.case UBE.handle Fitree.liftHandler) (k x)
α : Sort ?u.10648
β : Sort ?u.10649
f g : α → β
x y : α
h₁ : f = g
h₂ : x = y
⊢ f x = g y
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/AST.lean
|
MLIR.AST.AttrDict.find_none
|
[594, 9]
|
[596, 35]
|
simp [AttrDict.find, List.find?]
|
α σ : Type
ε : σ → Type
n' : String
δ : Dialect α σ ε
⊢ find (mk []) n' = none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/AST.lean
|
MLIR.AST.AttrDict.find_next
|
[598, 9]
|
[603, 70]
|
cases H: n == n' <;>
simp [AttrDict.find, List.find?, AttrEntry.key, AttrEntry.value, H]
|
α σ : Type
ε : σ → Type
n n' : String
δ : Dialect α σ ε
v : AttrValue δ
l : List (AttrEntry δ)
⊢ find (mk (AttrEntry.mk n v :: l)) n' = if (n == n') = true then some v else find (mk l) n'
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Tensor.eq_of_fields_eq
|
[38, 1]
|
[42, 10]
|
intros h_shape h_data
|
τ : MLIRTy
t₁ t₂ : Tensor τ
⊢ t₁.shape = t₂.shape → t₁.data = t₂.data → t₁ = t₂
|
τ : MLIRTy
t₁ t₂ : Tensor τ
h_shape : t₁.shape = t₂.shape
h_data : t₁.data = t₂.data
⊢ t₁ = t₂
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Tensor.eq_of_fields_eq
|
[38, 1]
|
[42, 10]
|
cases t₁
|
τ : MLIRTy
t₁ t₂ : Tensor τ
h_shape : t₁.shape = t₂.shape
h_data : t₁.data = t₂.data
⊢ t₁ = t₂
|
case mk
τ : MLIRTy
t₂ : Tensor τ
shape✝ : List ℕ
data✝ : List (MLIRType.eval τ)
h_data_size✝ : List.length data✝ = shapeProd shape✝
h_shape : { shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.shape = t₂.shape
h_data : { shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.data = t₂.data
⊢ { shape := shape✝, data := data✝, h_data_size := h_data_size✝ } = t₂
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Tensor.eq_of_fields_eq
|
[38, 1]
|
[42, 10]
|
cases t₂
|
case mk
τ : MLIRTy
t₂ : Tensor τ
shape✝ : List ℕ
data✝ : List (MLIRType.eval τ)
h_data_size✝ : List.length data✝ = shapeProd shape✝
h_shape : { shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.shape = t₂.shape
h_data : { shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.data = t₂.data
⊢ { shape := shape✝, data := data✝, h_data_size := h_data_size✝ } = t₂
|
case mk.mk
τ : MLIRTy
shape✝¹ : List ℕ
data✝¹ : List (MLIRType.eval τ)
h_data_size✝¹ : List.length data✝¹ = shapeProd shape✝¹
shape✝ : List ℕ
data✝ : List (MLIRType.eval τ)
h_data_size✝ : List.length data✝ = shapeProd shape✝
h_shape :
{ shape := shape✝¹, data := data✝¹, h_data_size := h_data_size✝¹ }.shape =
{ shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.shape
h_data :
{ shape := shape✝¹, data := data✝¹, h_data_size := h_data_size✝¹ }.data =
{ shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.data
⊢ { shape := shape✝¹, data := data✝¹, h_data_size := h_data_size✝¹ } =
{ shape := shape✝, data := data✝, h_data_size := h_data_size✝ }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Tensor.eq_of_fields_eq
|
[38, 1]
|
[42, 10]
|
simp at *
|
case mk.mk
τ : MLIRTy
shape✝¹ : List ℕ
data✝¹ : List (MLIRType.eval τ)
h_data_size✝¹ : List.length data✝¹ = shapeProd shape✝¹
shape✝ : List ℕ
data✝ : List (MLIRType.eval τ)
h_data_size✝ : List.length data✝ = shapeProd shape✝
h_shape :
{ shape := shape✝¹, data := data✝¹, h_data_size := h_data_size✝¹ }.shape =
{ shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.shape
h_data :
{ shape := shape✝¹, data := data✝¹, h_data_size := h_data_size✝¹ }.data =
{ shape := shape✝, data := data✝, h_data_size := h_data_size✝ }.data
⊢ { shape := shape✝¹, data := data✝¹, h_data_size := h_data_size✝¹ } =
{ shape := shape✝, data := data✝, h_data_size := h_data_size✝ }
|
case mk.mk
τ : MLIRTy
shape✝¹ : List ℕ
data✝¹ : List (MLIRType.eval τ)
h_data_size✝¹ : List.length data✝¹ = shapeProd shape✝¹
shape✝ : List ℕ
data✝ : List (MLIRType.eval τ)
h_data_size✝ : List.length data✝ = shapeProd shape✝
h_shape : shape✝¹ = shape✝
h_data : data✝¹ = data✝
⊢ shape✝¹ = shape✝ ∧ data✝¹ = data✝
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Tensor.eq_of_fields_eq
|
[38, 1]
|
[42, 10]
|
trivial
|
case mk.mk
τ : MLIRTy
shape✝¹ : List ℕ
data✝¹ : List (MLIRType.eval τ)
h_data_size✝¹ : List.length data✝¹ = shapeProd shape✝¹
shape✝ : List ℕ
data✝ : List (MLIRType.eval τ)
h_data_size✝ : List.length data✝ = shapeProd shape✝
h_shape : shape✝¹ = shape✝
h_data : data✝¹ = data✝
⊢ shape✝¹ = shape✝ ∧ data✝¹ = data✝
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Tensor.map_shape
|
[66, 1]
|
[68, 2]
|
simp [Tensor.map]
|
σ τ : MLIRTy
v : Tensor σ
f : MLIRType.eval σ → MLIRType.eval τ
⊢ v.shape = (map v f).shape
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
arg_equal_implies_fn_equal
|
[89, 1]
|
[91, 2]
|
simp [EQ]
|
α β : Type
x y : α
f : α → β
EQ : x = y
⊢ f x = f y
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
arg_equal_implies_fn_equal_2
|
[93, 1]
|
[96, 2]
|
simp [EQα, EQβ]
|
α β γ : Type
a a' : α
b b' : β
f : α → β → γ
EQα : a = a'
EQβ : b = b'
⊢ f a b = f a' b'
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
RankedTensor.eq_of_fields_eq
|
[127, 1]
|
[132, 43]
|
intros h_shape h_data
|
τ : DimList
D : MLIRTy
t₁ t₂ : RankedTensor τ D
⊢ t₁.toTensor.shape = t₂.toTensor.shape → t₁.toTensor.data = t₂.toTensor.data → t₁ = t₂
|
τ : DimList
D : MLIRTy
t₁ t₂ : RankedTensor τ D
h_shape : t₁.toTensor.shape = t₂.toTensor.shape
h_data : t₁.toTensor.data = t₂.toTensor.data
⊢ t₁ = t₂
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
RankedTensor.eq_of_fields_eq
|
[127, 1]
|
[132, 43]
|
suffices t₁.toTensor = t₂.toTensor by
cases t₁; cases t₂; simp at *; trivial
|
τ : DimList
D : MLIRTy
t₁ t₂ : RankedTensor τ D
h_shape : t₁.toTensor.shape = t₂.toTensor.shape
h_data : t₁.toTensor.data = t₂.toTensor.data
⊢ t₁ = t₂
|
τ : DimList
D : MLIRTy
t₁ t₂ : RankedTensor τ D
h_shape : t₁.toTensor.shape = t₂.toTensor.shape
h_data : t₁.toTensor.data = t₂.toTensor.data
⊢ t₁.toTensor = t₂.toTensor
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
RankedTensor.eq_of_fields_eq
|
[127, 1]
|
[132, 43]
|
apply Tensor.eq_of_fields_eq <;> trivial
|
τ : DimList
D : MLIRTy
t₁ t₂ : RankedTensor τ D
h_shape : t₁.toTensor.shape = t₂.toTensor.shape
h_data : t₁.toTensor.data = t₂.toTensor.data
⊢ t₁.toTensor = t₂.toTensor
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
RankedTensor.eq_of_fields_eq
|
[127, 1]
|
[132, 43]
|
cases t₁
|
τ : DimList
D : MLIRTy
t₁ t₂ : RankedTensor τ D
h_shape : t₁.toTensor.shape = t₂.toTensor.shape
h_data : t₁.toTensor.data = t₂.toTensor.data
this : t₁.toTensor = t₂.toTensor
⊢ t₁ = t₂
|
case mk
τ : DimList
D : MLIRTy
t₂ : RankedTensor τ D
toTensor✝ : Tensor D
h_refines✝ : DimList.shapeRefines toTensor✝.shape τ = true
h_shape : { toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.shape = t₂.toTensor.shape
h_data : { toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.data = t₂.toTensor.data
this : { toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor = t₂.toTensor
⊢ { toTensor := toTensor✝, h_refines := h_refines✝ } = t₂
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
RankedTensor.eq_of_fields_eq
|
[127, 1]
|
[132, 43]
|
cases t₂
|
case mk
τ : DimList
D : MLIRTy
t₂ : RankedTensor τ D
toTensor✝ : Tensor D
h_refines✝ : DimList.shapeRefines toTensor✝.shape τ = true
h_shape : { toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.shape = t₂.toTensor.shape
h_data : { toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.data = t₂.toTensor.data
this : { toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor = t₂.toTensor
⊢ { toTensor := toTensor✝, h_refines := h_refines✝ } = t₂
|
case mk.mk
τ : DimList
D : MLIRTy
toTensor✝¹ : Tensor D
h_refines✝¹ : DimList.shapeRefines toTensor✝¹.shape τ = true
toTensor✝ : Tensor D
h_refines✝ : DimList.shapeRefines toTensor✝.shape τ = true
h_shape :
{ toTensor := toTensor✝¹, h_refines := h_refines✝¹ }.toTensor.shape =
{ toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.shape
h_data :
{ toTensor := toTensor✝¹, h_refines := h_refines✝¹ }.toTensor.data =
{ toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.data
this :
{ toTensor := toTensor✝¹, h_refines := h_refines✝¹ }.toTensor =
{ toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor
⊢ { toTensor := toTensor✝¹, h_refines := h_refines✝¹ } = { toTensor := toTensor✝, h_refines := h_refines✝ }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
RankedTensor.eq_of_fields_eq
|
[127, 1]
|
[132, 43]
|
simp at *
|
case mk.mk
τ : DimList
D : MLIRTy
toTensor✝¹ : Tensor D
h_refines✝¹ : DimList.shapeRefines toTensor✝¹.shape τ = true
toTensor✝ : Tensor D
h_refines✝ : DimList.shapeRefines toTensor✝.shape τ = true
h_shape :
{ toTensor := toTensor✝¹, h_refines := h_refines✝¹ }.toTensor.shape =
{ toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.shape
h_data :
{ toTensor := toTensor✝¹, h_refines := h_refines✝¹ }.toTensor.data =
{ toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor.data
this :
{ toTensor := toTensor✝¹, h_refines := h_refines✝¹ }.toTensor =
{ toTensor := toTensor✝, h_refines := h_refines✝ }.toTensor
⊢ { toTensor := toTensor✝¹, h_refines := h_refines✝¹ } = { toTensor := toTensor✝, h_refines := h_refines✝ }
|
case mk.mk
τ : DimList
D : MLIRTy
toTensor✝¹ : Tensor D
h_refines✝¹ : DimList.shapeRefines toTensor✝¹.shape τ = true
toTensor✝ : Tensor D
h_refines✝ : DimList.shapeRefines toTensor✝.shape τ = true
h_shape : toTensor✝¹.shape = toTensor✝.shape
h_data : toTensor✝¹.data = toTensor✝.data
this : toTensor✝¹ = toTensor✝
⊢ toTensor✝¹ = toTensor✝
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
RankedTensor.eq_of_fields_eq
|
[127, 1]
|
[132, 43]
|
trivial
|
case mk.mk
τ : DimList
D : MLIRTy
toTensor✝¹ : Tensor D
h_refines✝¹ : DimList.shapeRefines toTensor✝¹.shape τ = true
toTensor✝ : Tensor D
h_refines✝ : DimList.shapeRefines toTensor✝.shape τ = true
h_shape : toTensor✝¹.shape = toTensor✝.shape
h_data : toTensor✝¹.data = toTensor✝.data
this : toTensor✝¹ = toTensor✝
⊢ toTensor✝¹ = toTensor✝
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
reshape_self
|
[206, 1]
|
[208, 54]
|
simp [reshape, dim_known_project_eq H₁ t.h_refines]
|
τ : MLIRTy
D : DimList
H₁ H₂ : known D = true
Hprod : prod D = prod D
t : RankedTensor D τ
⊢ reshape D H₁ H₂ Hprod t = t
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Vector.eq_of_fields_eq
|
[278, 1]
|
[282, 10]
|
intros h_scale h_data
|
τ fixed : List ℕ
scalable : MLIRTy
v₁ v₂ : Vector τ fixed scalable
⊢ v₁.scale = v₂.scale → v₁.data = v₂.data → v₁ = v₂
|
τ fixed : List ℕ
scalable : MLIRTy
v₁ v₂ : Vector τ fixed scalable
h_scale : v₁.scale = v₂.scale
h_data : v₁.data = v₂.data
⊢ v₁ = v₂
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Vector.eq_of_fields_eq
|
[278, 1]
|
[282, 10]
|
cases v₁
|
τ fixed : List ℕ
scalable : MLIRTy
v₁ v₂ : Vector τ fixed scalable
h_scale : v₁.scale = v₂.scale
h_data : v₁.data = v₂.data
⊢ v₁ = v₂
|
case mk
τ fixed : List ℕ
scalable : MLIRTy
v₂ : Vector τ fixed scalable
scale✝ : List ℕ
data✝ : List (MLIRType.eval scalable)
h_scale_size✝ : List.length scale✝ = List.length fixed
h_data_size✝ : List.length data✝ = size τ fixed scale✝ h_scale_size✝
h_scale :
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.scale = v₂.scale
h_data : { scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.data = v₂.data
⊢ { scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ } = v₂
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Vector.eq_of_fields_eq
|
[278, 1]
|
[282, 10]
|
cases v₂
|
case mk
τ fixed : List ℕ
scalable : MLIRTy
v₂ : Vector τ fixed scalable
scale✝ : List ℕ
data✝ : List (MLIRType.eval scalable)
h_scale_size✝ : List.length scale✝ = List.length fixed
h_data_size✝ : List.length data✝ = size τ fixed scale✝ h_scale_size✝
h_scale :
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.scale = v₂.scale
h_data : { scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.data = v₂.data
⊢ { scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ } = v₂
|
case mk.mk
τ fixed : List ℕ
scalable : MLIRTy
scale✝¹ : List ℕ
data✝¹ : List (MLIRType.eval scalable)
h_scale_size✝¹ : List.length scale✝¹ = List.length fixed
h_data_size✝¹ : List.length data✝¹ = size τ fixed scale✝¹ h_scale_size✝¹
scale✝ : List ℕ
data✝ : List (MLIRType.eval scalable)
h_scale_size✝ : List.length scale✝ = List.length fixed
h_data_size✝ : List.length data✝ = size τ fixed scale✝ h_scale_size✝
h_scale :
{ scale := scale✝¹, data := data✝¹, h_scale_size := h_scale_size✝¹, h_data_size := h_data_size✝¹ }.scale =
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.scale
h_data :
{ scale := scale✝¹, data := data✝¹, h_scale_size := h_scale_size✝¹, h_data_size := h_data_size✝¹ }.data =
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.data
⊢ { scale := scale✝¹, data := data✝¹, h_scale_size := h_scale_size✝¹, h_data_size := h_data_size✝¹ } =
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Vector.eq_of_fields_eq
|
[278, 1]
|
[282, 10]
|
simp at *
|
case mk.mk
τ fixed : List ℕ
scalable : MLIRTy
scale✝¹ : List ℕ
data✝¹ : List (MLIRType.eval scalable)
h_scale_size✝¹ : List.length scale✝¹ = List.length fixed
h_data_size✝¹ : List.length data✝¹ = size τ fixed scale✝¹ h_scale_size✝¹
scale✝ : List ℕ
data✝ : List (MLIRType.eval scalable)
h_scale_size✝ : List.length scale✝ = List.length fixed
h_data_size✝ : List.length data✝ = size τ fixed scale✝ h_scale_size✝
h_scale :
{ scale := scale✝¹, data := data✝¹, h_scale_size := h_scale_size✝¹, h_data_size := h_data_size✝¹ }.scale =
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.scale
h_data :
{ scale := scale✝¹, data := data✝¹, h_scale_size := h_scale_size✝¹, h_data_size := h_data_size✝¹ }.data =
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }.data
⊢ { scale := scale✝¹, data := data✝¹, h_scale_size := h_scale_size✝¹, h_data_size := h_data_size✝¹ } =
{ scale := scale✝, data := data✝, h_scale_size := h_scale_size✝, h_data_size := h_data_size✝ }
|
case mk.mk
τ fixed : List ℕ
scalable : MLIRTy
scale✝¹ : List ℕ
data✝¹ : List (MLIRType.eval scalable)
h_scale_size✝¹ : List.length scale✝¹ = List.length fixed
h_data_size✝¹ : List.length data✝¹ = size τ fixed scale✝¹ h_scale_size✝¹
scale✝ : List ℕ
data✝ : List (MLIRType.eval scalable)
h_scale_size✝ : List.length scale✝ = List.length fixed
h_data_size✝ : List.length data✝ = size τ fixed scale✝ h_scale_size✝
h_scale : scale✝¹ = scale✝
h_data : data✝¹ = data✝
⊢ scale✝¹ = scale✝ ∧ data✝¹ = data✝
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Dialects/BuiltinModel.lean
|
Vector.eq_of_fields_eq
|
[278, 1]
|
[282, 10]
|
trivial
|
case mk.mk
τ fixed : List ℕ
scalable : MLIRTy
scale✝¹ : List ℕ
data✝¹ : List (MLIRType.eval scalable)
h_scale_size✝¹ : List.length scale✝¹ = List.length fixed
h_data_size✝¹ : List.length data✝¹ = size τ fixed scale✝¹ h_scale_size✝¹
scale✝ : List ℕ
data✝ : List (MLIRType.eval scalable)
h_scale_size✝ : List.length scale✝ = List.length fixed
h_data_size✝ : List.length data✝ = size τ fixed scale✝ h_scale_size✝
h_scale : scale✝¹ = scale✝
h_data : data✝¹ = data✝
⊢ scale✝¹ = scale✝ ∧ data✝¹ = data✝
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_refl
|
[96, 1]
|
[97, 45]
|
intros name τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope : SSAScope δ
⊢ equiv scope scope
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope : SSAScope δ
name : SSAVal
τ : MLIRType δ
⊢ get name scope τ = get name scope τ
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_refl
|
[96, 1]
|
[97, 45]
|
rfl
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope : SSAScope δ
name : SSAVal
τ : MLIRType δ
⊢ get name scope τ = get name scope τ
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_symm
|
[99, 1]
|
[103, 11]
|
intros H name τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope scope' : SSAScope δ
⊢ equiv scope scope' → equiv scope' scope
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope scope' : SSAScope δ
H : equiv scope scope'
name : SSAVal
τ : MLIRType δ
⊢ get name scope' τ = get name scope τ
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_symm
|
[99, 1]
|
[103, 11]
|
specialize H name τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope scope' : SSAScope δ
H : equiv scope scope'
name : SSAVal
τ : MLIRType δ
⊢ get name scope' τ = get name scope τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope scope' : SSAScope δ
name : SSAVal
τ : MLIRType δ
H : get name scope τ = get name scope' τ
⊢ get name scope' τ = get name scope τ
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_symm
|
[99, 1]
|
[103, 11]
|
simp [H]
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope scope' : SSAScope δ
name : SSAVal
τ : MLIRType δ
H : get name scope τ = get name scope' τ
⊢ get name scope' τ = get name scope τ
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_trans
|
[105, 1]
|
[112, 16]
|
intros H1 scope₃ H2 name τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope₁ scope₂ : SSAScope δ
⊢ equiv scope₁ scope₂ → ∀ ⦃scope₃ : SSAScope δ⦄, equiv scope₂ scope₃ → equiv scope₁ scope₃
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope₁ scope₂ : SSAScope δ
H1 : equiv scope₁ scope₂
scope₃ : SSAScope δ
H2 : equiv scope₂ scope₃
name : SSAVal
τ : MLIRType δ
⊢ get name scope₁ τ = get name scope₃ τ
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_trans
|
[105, 1]
|
[112, 16]
|
specialize H1 name τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope₁ scope₂ : SSAScope δ
H1 : equiv scope₁ scope₂
scope₃ : SSAScope δ
H2 : equiv scope₂ scope₃
name : SSAVal
τ : MLIRType δ
⊢ get name scope₁ τ = get name scope₃ τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope₁ scope₂ scope₃ : SSAScope δ
H2 : equiv scope₂ scope₃
name : SSAVal
τ : MLIRType δ
H1 : get name scope₁ τ = get name scope₂ τ
⊢ get name scope₁ τ = get name scope₃ τ
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_trans
|
[105, 1]
|
[112, 16]
|
specialize H2 name τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope₁ scope₂ scope₃ : SSAScope δ
H2 : equiv scope₂ scope₃
name : SSAVal
τ : MLIRType δ
H1 : get name scope₁ τ = get name scope₂ τ
⊢ get name scope₁ τ = get name scope₃ τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope₁ scope₂ scope₃ : SSAScope δ
name : SSAVal
τ : MLIRType δ
H1 : get name scope₁ τ = get name scope₂ τ
H2 : get name scope₂ τ = get name scope₃ τ
⊢ get name scope₁ τ = get name scope₃ τ
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.equiv_trans
|
[105, 1]
|
[112, 16]
|
simp [H1, H2]
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
scope₁ scope₂ scope₃ : SSAScope δ
name : SSAVal
τ : MLIRType δ
H1 : get name scope₁ τ = get name scope₂ τ
H2 : get name scope₂ τ = get name scope₃ τ
⊢ get name scope₁ τ = get name scope₃ τ
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
simp [H]
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ τ' : MLIRType δ
v' : MLIRType.eval τ'
H : τ' = τ
⊢ MLIRType.eval τ' = MLIRType.eval τ
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
induction scope
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
⊢ get name scope τ =
match getT name scope with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
case nil
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
⊢ get name [] τ =
match getT name [] with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
case cons
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head✝ : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail✝ : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ :
get name tail✝ τ =
match getT name tail✝ with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
⊢ get name (head✝ :: tail✝) τ =
match getT name (head✝ :: tail✝) with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
case nil => simp
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
⊢ get name [] τ =
match getT name [] with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
case cons head tail HInd =>
unfold getT get
byCases Hname: head.fst = name
case h2 =>
rw [HInd]
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd :
get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
⊢ get name (head :: tail) τ =
match getT name (head :: tail) with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
simp
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
⊢ get name [] τ =
match getT name [] with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
unfold getT get
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd :
get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
⊢ get name (head :: tail) τ =
match getT name (head :: tail) with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd :
get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
⊢ (if H : head.fst = name then
if H' : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
match if head.fst = name then some { fst := head.2.fst, snd := head.2.snd } else getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
byCases Hname: head.fst = name
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd :
get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
⊢ (if H : head.fst = name then
if H' : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
match if head.fst = name then some { fst := head.2.fst, snd := head.2.snd } else getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
case h2
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd :
get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
Hname : ¬head.fst = name
⊢ get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if h : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
case h2 =>
rw [HInd]
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd :
get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
Hname : ¬head.fst = name
⊢ get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if h : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_to_getT
|
[114, 1]
|
[130, 14]
|
rw [HInd]
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd :
get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
Hname : ¬head.fst = name
⊢ get name tail τ =
match getT name tail with
| none => none
| some { fst := τ', snd := v' } =>
if h : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_some_getT
|
[132, 1]
|
[142, 6]
|
rw [get_to_getT]
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
⊢ get name scope τ = some v → getT name scope = some { fst := τ, snd := v }
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
⊢ (match getT name scope with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none) =
some v →
getT name scope = some { fst := τ, snd := v }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_some_getT
|
[132, 1]
|
[142, 6]
|
split <;> simp at * <;> try contradiction
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
⊢ (match getT name scope with
| none => none
| some { fst := τ', snd := v' } =>
if H : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v')
else none) =
some v →
getT name scope = some { fst := τ, snd := v }
|
case h_2
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
τ'✝ : MLIRType δ
v'✝ : MLIRType.eval τ'✝
heq✝ : getT name scope = some { fst := τ'✝, snd := v'✝ }
⊢ (if h : τ'✝ = τ then
some
(cast
(_ :
(match τ'✝ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝)
else none) =
some v →
getT name scope = some { fst := τ, snd := v }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_some_getT
|
[132, 1]
|
[142, 6]
|
case h_2 _ τ' _ Hget =>
byCases Hτ: τ' = τ
intros H
rw [←H, Hget]
rfl
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
τ' : MLIRType δ
v'✝ : MLIRType.eval τ'
Hget : getT name scope = some { fst := τ', snd := v'✝ }
⊢ (if h : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝)
else none) =
some v →
getT name scope = some { fst := τ, snd := v }
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_some_getT
|
[132, 1]
|
[142, 6]
|
byCases Hτ: τ' = τ
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
τ' : MLIRType δ
v'✝ : MLIRType.eval τ'
Hget : getT name scope = some { fst := τ', snd := v'✝ }
⊢ (if h : τ' = τ then
some
(cast
(_ :
(match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝)
else none) =
some v →
getT name scope = some { fst := τ, snd := v }
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
v'✝ : MLIRType.eval τ
Hget : getT name scope = some { fst := τ, snd := v'✝ }
⊢ cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ =
v →
getT name scope = some { fst := τ, snd := v }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_some_getT
|
[132, 1]
|
[142, 6]
|
intros H
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
v'✝ : MLIRType.eval τ
Hget : getT name scope = some { fst := τ, snd := v'✝ }
⊢ cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ =
v →
getT name scope = some { fst := τ, snd := v }
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
v'✝ : MLIRType.eval τ
Hget : getT name scope = some { fst := τ, snd := v'✝ }
H :
cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ =
v
⊢ getT name scope = some { fst := τ, snd := v }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_some_getT
|
[132, 1]
|
[142, 6]
|
rw [←H, Hget]
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
v'✝ : MLIRType.eval τ
Hget : getT name scope = some { fst := τ, snd := v'✝ }
H :
cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ =
v
⊢ getT name scope = some { fst := τ, snd := v }
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
v'✝ : MLIRType.eval τ
Hget : getT name scope = some { fst := τ, snd := v'✝ }
H :
cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ =
v
⊢ some { fst := τ, snd := v'✝ } =
some
{ fst := τ,
snd :=
cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_some_getT
|
[132, 1]
|
[142, 6]
|
rfl
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
x✝ : Option ((τ : MLIRType δ) × MLIRType.eval τ)
v'✝ : MLIRType.eval τ
Hget : getT name scope = some { fst := τ, snd := v'✝ }
H :
cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ =
v
⊢ some { fst := τ, snd := v'✝ } =
some
{ fst := τ,
snd :=
cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
v'✝ }
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_none_get
|
[144, 1]
|
[150, 48]
|
induction scope <;> simp
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
⊢ getT name scope = none → ∀ (τ : MLIRType δ), get name scope τ = none
|
case cons
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
head✝ : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail✝ : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT name tail✝ = none → ∀ (τ : MLIRType δ), get name tail✝ τ = none
⊢ (if head✝.fst = name then some head✝.2 else getT name tail✝) = none →
∀ (τ : MLIRType δ),
(if head✝.fst = name then
if h : head✝.2.fst = τ then
some
(cast
(_ :
(match head✝.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head✝.2.snd)
else none
else get name tail✝ τ) =
none
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_none_get
|
[144, 1]
|
[150, 48]
|
case cons head tail HInd =>
byCases Hname: head.fst = name <;> assumption
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : getT name tail = none → ∀ (τ : MLIRType δ), get name tail τ = none
⊢ (if head.fst = name then some head.2 else getT name tail) = none →
∀ (τ : MLIRType δ),
(if head.fst = name then
if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_none_get
|
[144, 1]
|
[150, 48]
|
byCases Hname: head.fst = name <;> assumption
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : getT name tail = none → ∀ (τ : MLIRType δ), get name tail τ = none
⊢ (if head.fst = name then some head.2 else getT name tail) = none →
∀ (τ : MLIRType δ),
(if head.fst = name then
if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
induction scope <;> simp
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
τ : MLIRType δ
v : MLIRType.eval τ
⊢ getT name scope = some { fst := τ, snd := v } → get name scope τ = some v
|
case cons
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
v : MLIRType.eval τ
head✝ : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail✝ : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT name tail✝ = some { fst := τ, snd := v } → get name tail✝ τ = some v
⊢ (if head✝.fst = name then some head✝.2 else getT name tail✝) = some { fst := τ, snd := v } →
(if head✝.fst = name then
if h : head✝.2.fst = τ then
some
(cast
(_ :
(match head✝.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head✝.2.snd)
else none
else get name tail✝ τ) =
some v
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
case cons head tail HInd =>
byCases Hname: head.fst = name <;> try assumption
have ⟨headName, headτ, headVal⟩ := head; simp at *
intros H; cases H
simp;
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : getT name tail = some { fst := τ, snd := v } → get name tail τ = some v
⊢ (if head.fst = name then some head.2 else getT name tail) = some { fst := τ, snd := v } →
(if head.fst = name then
if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
some v
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
byCases Hname: head.fst = name <;> try assumption
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : getT name tail = some { fst := τ, snd := v } → get name tail τ = some v
⊢ (if head.fst = name then some head.2 else getT name tail) = some { fst := τ, snd := v } →
(if head.fst = name then
if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
some v
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : getT head.fst tail = some { fst := τ, snd := v } → get head.fst tail τ = some v
⊢ head.2 = { fst := τ, snd := v } →
(if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none) =
some v
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
have ⟨headName, headτ, headVal⟩ := head
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : getT head.fst tail = some { fst := τ, snd := v } → get head.fst tail τ = some v
⊢ head.2 = { fst := τ, snd := v } →
(if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none) =
some v
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
headτ : MLIRType δ
headVal : MLIRType.eval headτ
HInd :
getT (headName, { fst := headτ, snd := headVal }).fst tail = some { fst := τ, snd := v } →
get (headName, { fst := headτ, snd := headVal }).fst tail τ = some v
⊢ (headName, { fst := headτ, snd := headVal }).2 = { fst := τ, snd := v } →
(if h : (headName, { fst := headτ, snd := headVal }).2.fst = τ then
some
(cast
(_ :
(match (headName, { fst := headτ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
(headName, { fst := headτ, snd := headVal }).2.snd)
else none) =
some v
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
simp at *
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
headτ : MLIRType δ
headVal : MLIRType.eval headτ
HInd :
getT (headName, { fst := headτ, snd := headVal }).fst tail = some { fst := τ, snd := v } →
get (headName, { fst := headτ, snd := headVal }).fst tail τ = some v
⊢ (headName, { fst := headτ, snd := headVal }).2 = { fst := τ, snd := v } →
(if h : (headName, { fst := headτ, snd := headVal }).2.fst = τ then
some
(cast
(_ :
(match (headName, { fst := headτ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
(headName, { fst := headτ, snd := headVal }).2.snd)
else none) =
some v
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
headτ : MLIRType δ
headVal : MLIRType.eval headτ
HInd : getT headName tail = some { fst := τ, snd := v } → get headName tail τ = some v
⊢ headτ = τ →
HEq headVal v →
(if h : headτ = τ then
some
(cast
(_ :
(match (headName, { fst := headτ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
headVal)
else none) =
some v
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
intros H
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
headτ : MLIRType δ
headVal : MLIRType.eval headτ
HInd : getT headName tail = some { fst := τ, snd := v } → get headName tail τ = some v
⊢ headτ = τ →
HEq headVal v →
(if h : headτ = τ then
some
(cast
(_ :
(match (headName, { fst := headτ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
headVal)
else none) =
some v
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
headτ : MLIRType δ
headVal : MLIRType.eval headτ
HInd : getT headName tail = some { fst := τ, snd := v } → get headName tail τ = some v
H : headτ = τ
⊢ HEq headVal v →
(if h : headτ = τ then
some
(cast
(_ :
(match (headName, { fst := headτ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
headVal)
else none) =
some v
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
cases H
|
case h1
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
headτ : MLIRType δ
headVal : MLIRType.eval headτ
HInd : getT headName tail = some { fst := τ, snd := v } → get headName tail τ = some v
H : headτ = τ
⊢ HEq headVal v →
(if h : headτ = τ then
some
(cast
(_ :
(match (headName, { fst := headτ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
headVal)
else none) =
some v
|
case h1.refl
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
HInd : getT headName tail = some { fst := τ, snd := v } → get headName tail τ = some v
headVal : MLIRType.eval τ
⊢ HEq headVal v →
(if h : τ = τ then
some
(cast
(_ :
(match (headName, { fst := τ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
headVal)
else none) =
some v
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
simp
|
case h1.refl
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
headName : SSAVal
HInd : getT headName tail = some { fst := τ, snd := v } → get headName tail τ = some v
headVal : MLIRType.eval τ
⊢ HEq headVal v →
(if h : τ = τ then
some
(cast
(_ :
(match (headName, { fst := τ, snd := headVal }).2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
headVal)
else none) =
some v
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_some_get
|
[152, 1]
|
[161, 8]
|
assumption
|
case h2
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
τ : MLIRType δ
v : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : getT name tail = some { fst := τ, snd := v } → get name tail τ = some v
Hname : ¬head.fst = name
⊢ getT name tail = some { fst := τ, snd := v } → get name tail τ = some v
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_none_getT
|
[163, 1]
|
[169, 52]
|
induction scope <;> simp
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
scope : SSAScope δ
⊢ (∀ (τ : MLIRType δ), get name scope τ = none) → getT name scope = none
|
case cons
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
head✝ : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail✝ : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : (∀ (τ : MLIRType δ), get name tail✝ τ = none) → getT name tail✝ = none
⊢ (∀ (τ : MLIRType δ),
(if head✝.fst = name then
if h : head✝.2.fst = τ then
some
(cast
(_ :
(match head✝.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head✝.2.snd)
else none
else get name tail✝ τ) =
none) →
(if head✝.fst = name then some head✝.2 else getT name tail✝) = none
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_none_getT
|
[163, 1]
|
[169, 52]
|
case cons head tail HInd =>
byCases Hname: head.fst = name <;> try assumption
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : (∀ (τ : MLIRType δ), get name tail τ = none) → getT name tail = none
⊢ (∀ (τ : MLIRType δ),
(if head.fst = name then
if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
none) →
(if head.fst = name then some head.2 else getT name tail) = none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_none_getT
|
[163, 1]
|
[169, 52]
|
byCases Hname: head.fst = name <;> try assumption
|
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : (∀ (τ : MLIRType δ), get name tail τ = none) → getT name tail = none
⊢ (∀ (τ : MLIRType δ),
(if head.fst = name then
if h : head.2.fst = τ then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit) =
match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get name tail τ) =
none) →
(if head.fst = name then some head.2 else getT name tail) = none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_none_getT
|
[163, 1]
|
[169, 52]
|
assumption
|
case h2
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
name : SSAVal
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
HInd : (∀ (τ : MLIRType δ), get name tail τ = none) → getT name tail = none
Hname : ¬head.fst = name
⊢ (∀ (τ : MLIRType δ), get name tail τ = none) → getT name tail = none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_ne
|
[171, 1]
|
[183, 17]
|
intros Hne scope τ val
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
⊢ v' ≠ v → ∀ ⦃scope : SSAScope δ⦄ ⦃τ : MLIRType δ⦄ ⦃val : MLIRType.eval τ⦄, getT v (set v' τ val scope) = getT v scope
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
scope : SSAScope δ
τ : MLIRType δ
val : MLIRType.eval τ
⊢ getT v (set v' τ val scope) = getT v scope
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_ne
|
[171, 1]
|
[183, 17]
|
induction scope with
| nil => simp [Hne]
| cons head tail =>
simp
byCases H: head.fst = v'
. simp [Hne]
. byCases H2: head.fst = v
assumption
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
scope : SSAScope δ
τ : MLIRType δ
val : MLIRType.eval τ
⊢ getT v (set v' τ val scope) = getT v scope
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_ne
|
[171, 1]
|
[183, 17]
|
simp [Hne]
|
case nil
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
⊢ getT v (set v' τ val []) = getT v []
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_ne
|
[171, 1]
|
[183, 17]
|
simp
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v' τ val tail) = getT v tail
⊢ getT v (set v' τ val (head :: tail)) = getT v (head :: tail)
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v' τ val tail) = getT v tail
⊢ getT v (if head.fst = v' then (head.fst, { fst := τ, snd := val }) :: tail else head :: set v' τ val tail) =
if head.fst = v then some head.2 else getT v tail
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_ne
|
[171, 1]
|
[183, 17]
|
byCases H: head.fst = v'
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v' τ val tail) = getT v tail
⊢ getT v (if head.fst = v' then (head.fst, { fst := τ, snd := val }) :: tail else head :: set v' τ val tail) =
if head.fst = v then some head.2 else getT v tail
|
case cons.h1
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
Hne : head.fst ≠ v
tail_ih✝ : getT v (set head.fst τ val tail) = getT v tail
⊢ (if head.fst = v then some { fst := τ, snd := val } else getT v tail) =
if head.fst = v then some head.2 else getT v tail
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v' τ val tail) = getT v tail
H : ¬head.fst = v'
⊢ (if head.fst = v then some head.2 else getT v (set v' τ val tail)) = if head.fst = v then some head.2 else getT v tail
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_ne
|
[171, 1]
|
[183, 17]
|
. simp [Hne]
|
case cons.h1
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
Hne : head.fst ≠ v
tail_ih✝ : getT v (set head.fst τ val tail) = getT v tail
⊢ (if head.fst = v then some { fst := τ, snd := val } else getT v tail) =
if head.fst = v then some head.2 else getT v tail
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v' τ val tail) = getT v tail
H : ¬head.fst = v'
⊢ (if head.fst = v then some head.2 else getT v (set v' τ val tail)) = if head.fst = v then some head.2 else getT v tail
|
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v' τ val tail) = getT v tail
H : ¬head.fst = v'
⊢ (if head.fst = v then some head.2 else getT v (set v' τ val tail)) = if head.fst = v then some head.2 else getT v tail
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_ne
|
[171, 1]
|
[183, 17]
|
. byCases H2: head.fst = v
assumption
|
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v' τ val tail) = getT v tail
H : ¬head.fst = v'
⊢ (if head.fst = v then some head.2 else getT v (set v' τ val tail)) = if head.fst = v then some head.2 else getT v tail
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_eq
|
[185, 1]
|
[192, 15]
|
induction scope with
| nil => simp
| cons head tail =>
simp
byCases H: head.fst = v
assumption
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
scope : SSAScope δ
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
⊢ getT v (set v τ val scope) = some { fst := τ, snd := val }
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_eq
|
[185, 1]
|
[192, 15]
|
simp
|
case nil
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
⊢ getT v (set v τ val []) = some { fst := τ, snd := val }
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_eq
|
[185, 1]
|
[192, 15]
|
simp
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v τ val tail) = some { fst := τ, snd := val }
⊢ getT v (set v τ val (head :: tail)) = some { fst := τ, snd := val }
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v τ val tail) = some { fst := τ, snd := val }
⊢ getT v (if head.fst = v then (head.fst, { fst := τ, snd := val }) :: tail else head :: set v τ val tail) =
some { fst := τ, snd := val }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_eq
|
[185, 1]
|
[192, 15]
|
byCases H: head.fst = v
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v τ val tail) = some { fst := τ, snd := val }
⊢ getT v (if head.fst = v then (head.fst, { fst := τ, snd := val }) :: tail else head :: set v τ val tail) =
some { fst := τ, snd := val }
|
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v τ val tail) = some { fst := τ, snd := val }
H : ¬head.fst = v
⊢ getT v (set v τ val tail) = some { fst := τ, snd := val }
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.getT_set_eq
|
[185, 1]
|
[192, 15]
|
assumption
|
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
tail : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : getT v (set v τ val tail) = some { fst := τ, snd := val }
H : ¬head.fst = v
⊢ getT v (set v τ val tail) = some { fst := τ, snd := val }
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
intros Hne scope τ τ' val
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
⊢ v' ≠ v →
∀ ⦃scope : SSAScope δ⦄ ⦃τ τ' : MLIRType δ⦄ ⦃val : MLIRType.eval τ⦄, get v (set v' τ val scope) τ' = get v scope τ'
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
scope : SSAScope δ
τ τ' : MLIRType δ
val : MLIRType.eval τ
⊢ get v (set v' τ val scope) τ' = get v scope τ'
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
induction scope with
| nil => simp [Hne]
| cons head nil =>
simp
byCases H: head.fst = v'
. simp [Hne]
. byCases H2: head.fst = v <;> try assumption
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
scope : SSAScope δ
τ τ' : MLIRType δ
val : MLIRType.eval τ
⊢ get v (set v' τ val scope) τ' = get v scope τ'
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
simp [Hne]
|
case nil
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
⊢ get v (set v' τ val []) τ' = get v [] τ'
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
simp
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
⊢ get v (set v' τ val (head :: nil)) τ' = get v (head :: nil) τ'
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
⊢ get v (if head.fst = v' then (head.fst, { fst := τ, snd := val }) :: nil else head :: set v' τ val nil) τ' =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
byCases H: head.fst = v'
|
case cons
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
⊢ get v (if head.fst = v' then (head.fst, { fst := τ, snd := val }) :: nil else head :: set v' τ val nil) τ' =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
|
case cons.h1
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
Hne : head.fst ≠ v
tail_ih✝ : get v (set head.fst τ val nil) τ' = get v nil τ'
⊢ (if head.fst = v then
if h : τ = τ' then
some
(cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
val)
else none
else get v nil τ') =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
H : ¬head.fst = v'
⊢ (if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v (set v' τ val nil) τ') =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
. simp [Hne]
|
case cons.h1
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v : SSAVal
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
Hne : head.fst ≠ v
tail_ih✝ : get v (set head.fst τ val nil) τ' = get v nil τ'
⊢ (if head.fst = v then
if h : τ = τ' then
some
(cast
(_ :
(match τ with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
val)
else none
else get v nil τ') =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
H : ¬head.fst = v'
⊢ (if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v (set v' τ val nil) τ') =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
|
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
H : ¬head.fst = v'
⊢ (if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v (set v' τ val nil) τ') =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
. byCases H2: head.fst = v <;> try assumption
|
case cons.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
H : ¬head.fst = v'
⊢ (if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v (set v' τ val nil) τ') =
if head.fst = v then
if h : head.2.fst = τ' then
some
(cast
(_ :
(match head.2.fst with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit) =
match τ' with
| MLIRType.float a => Float
| MLIRType.int signedness sz => FinInt sz
| MLIRType.tensor1d => Tensor1D
| MLIRType.tensor2d => Tensor2D
| MLIRType.tensor4d => Tensor4D
| MLIRType.index => ℤ
| MLIRType.undefined a => Unit
| MLIRType.extended σ => ε✝ σ
| MLIRType.erased => Unit)
head.2.snd)
else none
else get v nil τ'
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_val
|
[194, 1]
|
[205, 50]
|
assumption
|
case cons.h2.h2
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
v v' : SSAVal
Hne : v' ≠ v
τ τ' : MLIRType δ
val : MLIRType.eval τ
head : SSAVal × (τ : MLIRType δ) × MLIRType.eval τ
nil : List (SSAVal × (τ : MLIRType δ) × MLIRType.eval τ)
tail_ih✝ : get v (set v' τ val nil) τ' = get v nil τ'
H : ¬head.fst = v'
H2 : ¬head.fst = v
⊢ get v (set v' τ val nil) τ' = get v nil τ'
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_type
|
[207, 1]
|
[218, 50]
|
intros Hne scope v val
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
τ τ' : MLIRType δ
⊢ τ' ≠ τ → ∀ ⦃scope : SSAScope δ⦄ ⦃v : SSAVal⦄ ⦃val : MLIRType.eval τ'⦄, get v (set v τ' val scope) τ = none
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
τ τ' : MLIRType δ
Hne : τ' ≠ τ
scope : SSAScope δ
v : SSAVal
val : MLIRType.eval τ'
⊢ get v (set v τ' val scope) τ = none
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_type
|
[207, 1]
|
[218, 50]
|
induction scope with
| nil => simp [Hne]
| cons head tail Hind =>
simp
byCases H: head.fst = v
. simp [Hne]
. byCases H2: head.fst = v <;> try assumption
|
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
τ τ' : MLIRType δ
Hne : τ' ≠ τ
scope : SSAScope δ
v : SSAVal
val : MLIRType.eval τ'
⊢ get v (set v τ' val scope) τ = none
|
no goals
|
https://github.com/opencompl/lean-mlir.git
|
e43d21592801e5e40477b14b7a554e356060c40c
|
MLIR/Semantics/SSAEnv.lean
|
SSAScope.get_set_ne_type
|
[207, 1]
|
[218, 50]
|
simp [Hne]
|
case nil
α σ : Type
ε : σ → Type
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ : Dialect α✝ σ✝ ε✝
τ τ' : MLIRType δ
Hne : τ' ≠ τ
v : SSAVal
val : MLIRType.eval τ'
⊢ get v (set v τ' val []) τ = none
|
no goals
|
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