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... | 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.... | 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;... | 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)
|... | 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))... |
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))... | 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))... |
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))... | 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))... |
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))... | 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))... |
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))... | 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... |
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... | 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... |
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... | 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✝... |
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✝... | 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 =>... | 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... |
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... | 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 =
{ sh... |
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 =
{ sh... | 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.dat... |
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.dat... | 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 :=... |
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 :=... | 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✝
⊢ toTe... |
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✝
⊢ toTe... | 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_... |
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_... | 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✝... |
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✝... | 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✝... |
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✝... | 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
| ML... | 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 =... |
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
... | 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
... | 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
... | 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
... | 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
... |
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
... | 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' =... |
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
... | 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
... | 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
... |
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
... | 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
... |
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
(_ ... | 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
(_ ... | 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 =... |
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 =... | 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 => ... |
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 => ... | 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 => ... |
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 => ... | 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✝) ... |
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 : M... | 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 : M... | 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 ... |
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 el... | 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 el... | 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 } →
... |
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 } →
... | 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 }).... |
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 }).... | 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 } → g... |
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 } → g... | 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 } → g... |
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 } → g... | 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 : MLIRTy... |
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 : MLIRTy... | 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 n... | 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
... |
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.f... | 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.f... | 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)... | 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 (se... | 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... |
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... | 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
... |
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
... | 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... |
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... | 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 (s... | 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 (i... |
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 (i... | 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 : ¬hea... |
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 : ¬hea... | 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 ... | 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 ... |
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 ... | 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... |
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... | 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 : ¬... |
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 : ¬... | 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 ... | 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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