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/Dialects/ArithSemantics.lean | FinInt.sub_add_dist | [409, 1] | [415, 41] | simp [Int.sub_add_dist, Int.sub_assoc] | case a.a
sz : ℕ
C X C2 : FinInt sz
⊢ toUint C - (toUint X + toUint C2) = toUint C - toUint C2 - toUint X | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Examples/FinIntBruteforce.lean | P₁_tautology8 | [28, 1] | [29, 16] | native_decide | ⊢ isTautologyUpTo2 8 P₁ = true | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Examples/FinIntBruteforce.lean | P₂_tautology8 | [34, 1] | [35, 16] | native_decide | ⊢ isTautologyUpTo2 8 P₂ = true | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Examples/FinIntBruteforce.lean | P₃_tautology8 | [41, 1] | [42, 16] | native_decide | ⊢ isTautologyUpTo2 8 P₃ = true | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Refinement.lean | SSAEnv.refines_set | [20, 1] | [34, 28] | simp [refines, SSAEnv.refines] | α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
⊢ refines env1 env2 → refines (set name τ val env1) (set name τ val env2) | α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
⊢ (∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }) →
∀ (v : SSAVal) (a : MLIRType δ✝) (b : ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Refinement.lean | SSAEnv.refines_set | [20, 1] | [34, 28] | intros Href name' val' Hget | α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
⊢ (∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }) →
∀ (v : SSAVal) (a : MLIRType δ✝) (b : ... | α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
Href :
∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }
name' : SSAVal
val' : MLIRType δ✝
Hget : ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Refinement.lean | SSAEnv.refines_set | [20, 1] | [34, 28] | by_cases H: name = name' | α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
Href :
∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }
name' : SSAVal
val' : MLIRType δ✝
Hget : ... | case pos
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
Href :
∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }
name' : SSAVal
val' : MLIRType δ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Refinement.lean | SSAEnv.refines_set | [20, 1] | [34, 28] | . subst H;
rw [SSAEnv.getT_set_eq] <;> try assumption
rw [SSAEnv.getT_set_eq] <;> try assumption
intros K; assumption; | case pos
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
Href :
∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }
name' : SSAVal
val' : MLIRType δ... | case neg
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
Href :
∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }
name' : SSAVal
val' : MLIRType δ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Refinement.lean | SSAEnv.refines_set | [20, 1] | [34, 28] | . rw [SSAEnv.getT_set_ne] <;> try assumption
rw [SSAEnv.getT_set_ne] <;> try assumption
intros K;
apply Href; assumption; | case neg
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
Href :
∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }
name' : SSAVal
val' : MLIRType δ... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Refinement.lean | SSAEnv.refines_set | [20, 1] | [34, 28] | assumption | case neg.a
α✝ σ✝ : Type
ε✝ : σ✝ → Type
δ✝ : Dialect α✝ σ✝ ε✝
env1 env2 : SSAEnv δ✝
name : SSAVal
τ : MLIRType δ✝
val : MLIRType.eval τ
Href :
∀ (v : SSAVal) (a : MLIRType δ✝) (b : MLIRType.eval a),
getT v env2 = some { fst := a, snd := b } → getT v env1 = some { fst := a, snd := b }
name' : SSAVal
val' : MLIRType... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_unfold | [95, 1] | [104, 33] | simp [TopM.get] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
⊢ get τ name env =
Except.ok
(match SSAEnv.get name τ env with
| some v => v
| none => default,
env) | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
⊢ bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some v => pure v
| none => pure default)
env =
Except.ok
(match SSAEnv.get name τ env with
| some v => v
| none... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_unfold | [95, 1] | [104, 33] | simp_monad | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
⊢ bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some v => pure v
| none => pure default)
env =
Except.ok
(match SSAEnv.get name τ env with
| some v => v
| none... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
⊢ (match SSAEnv.get name τ env with
| some v => fun s => Except.ok (v, s)
| none => fun s => Except.ok (default, s))
env =
Except.ok
(match SSAEnv.get name τ env with
| some v => v
| none =>... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_unfold | [95, 1] | [104, 33] | cases (env.get name τ) <;> rfl | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
⊢ (match SSAEnv.get name τ env with
| some v => fun s => Except.ok (v, s)
| none => fun s => Except.ok (default, s))
env =
Except.ok
(match SSAEnv.get name τ env with
| some v => v
| none =>... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_unfold | [106, 1] | [114, 33] | simp [TopM.set] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
v : MLIRType.eval τ
⊢ set τ name v env =
match SSAEnv.get name τ env with
| some val => Except.error ("setting to SSA value twice!", env)
| none => Except.ok ((), SSAEnv.set name τ v env) | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
v : MLIRType.eval τ
⊢ bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some val => raiseUB "setting to SSA value twice!"
| none => StateT.set (SSAEnv.set name τ v s))
env =
match SSAEn... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_unfold | [106, 1] | [114, 33] | simp_monad | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
v : MLIRType.eval τ
⊢ bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some val => raiseUB "setting to SSA value twice!"
| none => StateT.set (SSAEnv.set name τ v s))
env =
match SSAEn... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
v : MLIRType.eval τ
⊢ (match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => fun x => Except.ok (PUnit.unit, SSAEnv.set name τ v env))
env =
match SSAEnv.get name τ env wi... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_unfold | [106, 1] | [114, 33] | cases (env.get name τ) <;> rfl | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
v : MLIRType.eval τ
⊢ (match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => fun x => Except.ok (PUnit.unit, SSAEnv.set name τ v env))
env =
match SSAEnv.get name τ env wi... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_ok | [116, 1] | [122, 9] | simp [set] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
⊢ set τ name v env = Except.ok r → r = ((), SSAEnv.set name τ v env) ∧ SSAEnv.get name τ env = none | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
⊢ bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some val => raiseUB "setting to SSA value twice!"
| none => StateT.set (SSAEnv.set name τ v s))... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_ok | [116, 1] | [122, 9] | simp_monad | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
⊢ bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some val => raiseUB "setting to SSA value twice!"
| none => StateT.set (SSAEnv.set name τ v s))... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
⊢ (match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => fun x => Except.ok (PUnit.unit, SSAEnv.set name τ v env))
env =
Ex... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_ok | [116, 1] | [122, 9] | cases (env.get name τ) <;> simp <;> intros H <;> try contradiction | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
⊢ (match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => fun x => Except.ok (PUnit.unit, SSAEnv.set name τ v env))
env =
Ex... | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
H : (PUnit.unit, SSAEnv.set name τ v env) = r
⊢ r = ((), SSAEnv.set name τ v env) |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_ok | [116, 1] | [122, 9] | rw [H] | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
H : (PUnit.unit, SSAEnv.set name τ v env) = r
⊢ r = ((), SSAEnv.set name τ v env) | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_ok | [116, 1] | [122, 9] | contradiction | case some
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit × SSAEnv Δ
val✝ : MLIRType.eval τ
H : raiseUB "setting to SSA value twice!" env = Except.ok r
⊢ False | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_env_set_commutes | [124, 1] | [133, 91] | intros τ name env r env' H name' Hne τ' v' | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
⊢ ∀ ⦃τ : MLIRType Δ⦄ ⦃name : SSAVal⦄ ⦃env : SSAEnv Δ⦄ ⦃r : MLIRType.eval τ⦄ ⦃env' : SSAEnv Δ⦄,
get τ name env = Except.ok (r, env') →
∀ ⦃name' : SSAVal⦄,
name' ≠ name →
∀ ⦃τ' : MLIRType Δ⦄ ⦃v' : MLIRType.eval τ'⦄,
get τ name (SSAEnv.set n... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
H : get τ name env = Except.ok (r, env')
name' : SSAVal
Hne : name' ≠ name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ get τ name (SSAEnv.set name' τ' v' env) = Except.ok (r, SSAEnv.set name' τ' v' env'... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_env_set_commutes | [124, 1] | [133, 91] | rw [TopM.get_unfold] at * | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
H : get τ name env = Except.ok (r, env')
name' : SSAVal
Hne : name' ≠ name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ get τ name (SSAEnv.set name' τ' v' env) = Except.ok (r, SSAEnv.set name' τ' v' env'... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
H :
Except.ok
(match SSAEnv.get name τ env with
| some v => v
| none => default,
env) =
Except.ok (r, env')
name' : SSAVal
Hne : name' ≠ name
τ' : MLIRType Δ
v' :... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_env_set_commutes | [124, 1] | [133, 91] | simp_monad at * | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
H :
Except.ok
(match SSAEnv.get name τ env with
| some v => v
| none => default,
env) =
Except.ok (r, env')
name' : SSAVal
Hne : name' ≠ name
τ' : MLIRType Δ
v' :... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
name' : SSAVal
Hne : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
H :
(match SSAEnv.get name τ env with
| some v => v
| none => default) =
r ∧
env = env'
⊢ (match SSAE... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_env_set_commutes | [124, 1] | [133, 91] | simp_ssaenv at * | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
name' : SSAVal
Hne : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
H :
(match SSAEnv.get name τ env with
| some v => v
| none => default) =
r ∧
env = env'
⊢ (match SSAE... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
name' : SSAVal
Hne : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
H :
(match SSAEnv.get name τ env with
| some v => v
| none => default) =
r ∧
env = env'
⊢ (match SSAE... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_env_set_commutes | [124, 1] | [133, 91] | revert H | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
name' : SSAVal
Hne : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
H :
(match SSAEnv.get name τ env with
| some v => v
| none => default) =
r ∧
env = env'
⊢ (match SSAE... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
name' : SSAVal
Hne : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ (match SSAEnv.get name τ env with
| some v => v
| none => default) =
r ∧
env = env' →
(ma... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_env_set_commutes | [124, 1] | [133, 91] | cases (env.get name τ) <;> simp at * <;> intros H1 H2 <;> subst r <;> subst env <;> simp | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
env : SSAEnv Δ
r : MLIRType.eval τ
env' : SSAEnv Δ
name' : SSAVal
Hne : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ (match SSAEnv.get name τ env with
| some v => v
| none => default) =
r ∧
env = env' →
(ma... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | intros τ name v env r env' H name' Hname τ' v' | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
⊢ ∀ ⦃τ : MLIRType Δ⦄ ⦃name : SSAVal⦄ ⦃v : MLIRType.eval τ⦄ ⦃env : SSAEnv Δ⦄ ⦃r : Unit⦄ ⦃env' : SSAEnv Δ⦄,
set τ name v env = Except.ok (r, env') →
∀ ⦃name' : SSAVal⦄,
name' ≠ name →
∀ (τ' : MLIRType Δ) (v' : MLIRType.eval τ'),
∃ env'',
... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
H : set τ name v env = Except.ok (r, env')
name' : SSAVal
Hname : name' ≠ name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ ∃ env'',
SSAEnv.equiv (SSAEnv.set name' τ' v' env') env'' ∧ set τ ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | simp [set] at * | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
H : set τ name v env = Except.ok (r, env')
name' : SSAVal
Hname : name' ≠ name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ ∃ env'',
SSAEnv.equiv (SSAEnv.set name' τ' v' env') env'' ∧ set τ ... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
H :
bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some val => raiseUB "setting to SSA value twice!"
| none => StateT.set (SSAEnv.set name τ v s)... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | simp_monad at * | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
H :
bind StateT.get
(fun s =>
match SSAEnv.get name τ s with
| some val => raiseUB "setting to SSA value twice!"
| none => StateT.set (SSAEnv.set name τ v s)... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
H :
(match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => fun x => Except.ok (PUnit.unit, SSAEnv.set name τ v env))
env =
E... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | revert H | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
H :
(match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => fun x => Except.ok (PUnit.unit, SSAEnv.set name τ v env))
env =
E... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ (match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | cases Hget: (env.get name τ) <;> simp <;> intros H <;> try contradiction | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
⊢ (match SSAEnv.get name τ env with
| some val => raiseUB "setting to SSA value twice!"
| none => ... | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
H : SSAEnv.set name τ v env = env'
⊢ ∃ env'',
SSAEnv.equiv (SSAE... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | simp_ssaenv | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
H : SSAEnv.set name τ v env = env'
⊢ ∃ env'',
SSAEnv.equiv (SSAE... | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
H : SSAEnv.set name τ v env = env'
⊢ ∃ env'',
SSAEnv.equiv (SSAE... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | subst env' | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
H : SSAEnv.set name τ v env = env'
⊢ ∃ env'',
SSAEnv.equiv (SSAE... | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ ∃ env'',
SSAEnv.equiv (SSAEnv.set name' τ' v' (SSAEnv.set name τ v env)) env''... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | exists (SSAEnv.set name τ v (SSAEnv.set name' τ' v' env)) | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ ∃ env'',
SSAEnv.equiv (SSAEnv.set name' τ' v' (SSAEnv.set name τ v env)) env''... | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ SSAEnv.equiv (SSAEnv.set name' τ' v' (SSAEnv.set name τ v env)) (SSAEnv.set name τ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | simp[Hget] | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ SSAEnv.equiv (SSAEnv.set name' τ' v' (SSAEnv.set name τ v env)) (SSAEnv.set name τ... | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ SSAEnv.equiv (SSAEnv.set name' τ' v' (SSAEnv.set name τ v env)) (SSAEnv.set name τ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | apply SSAEnv.set_commutes | case none
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ SSAEnv.equiv (SSAEnv.set name' τ' v' (SSAEnv.set name τ v env)) (SSAEnv.set name τ... | case none.a
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ name ≠ name' |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | simp [Ne.symm Hname] | case none.a
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
Hget : SSAEnv.get name τ env = none
⊢ name ≠ name' | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_env_set_commutes | [135, 1] | [150, 23] | contradiction | case some
α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
env : SSAEnv Δ
r : Unit
env' : SSAEnv Δ
name' : SSAVal
Hname : ¬name' = name
τ' : MLIRType Δ
v' : MLIRType.eval τ'
val✝ : MLIRType.eval τ
Hget : SSAEnv.get name τ env = some val✝
H : raiseUB "setting to SSA value twice!... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_equiv | [153, 1] | [162, 9] | intros env₁ env₂ Hequiv τ name r env₁' | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
⊢ ∀ ⦃env₁ env₂ : SSAEnv Δ⦄,
SSAEnv.equiv env₁ env₂ →
∀ ⦃τ : MLIRType Δ⦄ ⦃name : SSAVal⦄ ⦃r : MLIRType.eval τ⦄ ⦃env₁' : SSAEnv Δ⦄,
get τ name env₁ = Except.ok (r, env₁') → get τ name env₂ = Except.ok (r, env₂) | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ get τ name env₁ = Except.ok (r, env₁') → get τ name env₂ = Except.ok (r, env₂) |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_equiv | [153, 1] | [162, 9] | repeat rw [TopM.get_unfold] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ get τ name env₁ = Except.ok (r, env₁') → get τ name env₂ = Except.ok (r, env₂) | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ Except.ok
(match SSAEnv.get name τ env₁ with
| some v => v
| none => default,
env₁) =
Except.ok (r, env₁') →
... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_equiv | [153, 1] | [162, 9] | rw [Hequiv] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ Except.ok
(match SSAEnv.get name τ env₁ with
| some v => v
| none => default,
env₁) =
Except.ok (r, env₁') →
... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ Except.ok
(match SSAEnv.get name τ env₂ with
| some v => v
| none => default,
env₁) =
Except.ok (r, env₁') →
... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_equiv | [153, 1] | [162, 9] | simp_monad | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ Except.ok
(match SSAEnv.get name τ env₂ with
| some v => v
| none => default,
env₁) =
Except.ok (r, env₁') →
... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₂ with
| some v => v
| none => default) =
r →
env₁ = env₁' →
(match SSAEnv.get name τ env₂ with
... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_equiv | [153, 1] | [162, 9] | intros H _ | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₂ with
| some v => v
| none => default) =
r →
env₁ = env₁' →
(match SSAEnv.get name τ env₂ with
... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
H :
(match SSAEnv.get name τ env₂ with
| some v => v
| none => default) =
r
a✝ : env₁ = env₁'
⊢ (match SSAEnv.get name τ env₂ with
| some v =... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_equiv | [153, 1] | [162, 9] | rw [H] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
H :
(match SSAEnv.get name τ env₂ with
| some v => v
| none => default) =
r
a✝ : env₁ = env₁'
⊢ (match SSAEnv.get name τ env₂ with
| some v =... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.get_equiv | [153, 1] | [162, 9] | rw [TopM.get_unfold] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ Except.ok
(match SSAEnv.get name τ env₁ with
| some v => v
| none => default,
env₁) =
Except.ok (r, env₁') →
... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
r : MLIRType.eval τ
env₁' : SSAEnv Δ
⊢ Except.ok
(match SSAEnv.get name τ env₁ with
| some v => v
| none => default,
env₁) =
Except.ok (r, env₁') →
... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_equiv | [164, 1] | [172, 42] | intros env₁ env₂ Hequiv τ name v r env₁' | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
⊢ ∀ ⦃env₁ env₂ : SSAEnv Δ⦄,
SSAEnv.equiv env₁ env₂ →
∀ ⦃τ : MLIRType Δ⦄ ⦃name : SSAVal⦄ ⦃v : MLIRType.eval τ⦄ ⦃r : Unit⦄ ⦃env₁' : SSAEnv Δ⦄,
set τ name v env₁ = Except.ok (r, env₁') → set τ name v env₂ = Except.ok (r, SSAEnv.set name τ v env₂) | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ set τ name v env₁ = Except.ok (r, env₁') → set τ name v env₂ = Except.ok (r, SSAEnv.set name τ v env₂) |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_equiv | [164, 1] | [172, 42] | repeat rw [TopM.set_unfold] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ set τ name v env₁ = Except.ok (r, env₁') → set τ name v env₂ = Except.ok (r, SSAEnv.set name τ v env₂) | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₁ with
| some val => Except.error ("setting to SSA value twice!", env₁)
| none => Except.ok ((), SSAEnv.set ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_equiv | [164, 1] | [172, 42] | rw [Hequiv] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₁ with
| some val => Except.error ("setting to SSA value twice!", env₁)
| none => Except.ok ((), SSAEnv.set ... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₂ with
| some val => Except.error ("setting to SSA value twice!", env₁)
| none => Except.ok ((), SSAEnv.set ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_equiv | [164, 1] | [172, 42] | cases (SSAEnv.get name τ env₂) <;> simp | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₂ with
| some val => Except.error ("setting to SSA value twice!", env₁)
| none => Except.ok ((), SSAEnv.set ... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | TopM.set_equiv | [164, 1] | [172, 42] | rw [TopM.set_unfold] | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₁ with
| some val => Except.error ("setting to SSA value twice!", env₁)
| none => Except.ok ((), SSAEnv.set ... | α σ : Type
ε : σ → Type
Δ : Dialect α σ ε
env₁ env₂ : SSAEnv Δ
Hequiv : SSAEnv.equiv env₁ env₂
τ : MLIRType Δ
name : SSAVal
v : MLIRType.eval τ
r : Unit
env₁' : SSAEnv Δ
⊢ (match SSAEnv.get name τ env₁ with
| some val => Except.error ("setting to SSA value twice!", env₁)
| none => Except.ok ((), SSAEnv.set ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | induction args <;> intros env r env' H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
args : List (TypedSSAVal Δ)
⊢ ∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ args env = Except.ok (r, env') → env' = env | case nil
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
H : denoteOpArgs Δ [] env = Except.ok (r, env')
⊢ env' = env
case cons
α₁ σ₁ : Type
ε₁ : σ₁ ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | case nil =>
simp [denoteOpArgs] at *
simp_monad at *
cases H; subst r env
simp | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
H : denoteOpArgs Δ [] env = Except.ok (r, env')
⊢ env' = env | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | case cons head tail HInd =>
simp [denoteOpArgs]; simp [denoteOpArgs] at H
have ⟨headName, headτ⟩ := head
simp_monad at *
revert H
cases Hhead: TopM.get headτ headName env <;> simp <;> intros H <;> try contradiction
case ok r =>
rw [TopM.get_unfold] at Hhead
have ⟨rRes, rEnv⟩ := r; simp at Hhead; cases H... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp [denoteOpArgs] at * | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
H : denoteOpArgs Δ [] env = Except.ok (r, env')
⊢ env' = env | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
H : pure [] env = Except.ok (r, env')
⊢ env' = env |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp_monad at * | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
H : pure [] env = Except.ok (r, env')
⊢ env' = env | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
H : [] = r ∧ env = env'
⊢ env' = env |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | cases H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
H : [] = r ∧ env = env'
⊢ env' = env | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
left✝ : [] = r
right✝ : env = env'
⊢ env' = env |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | subst r env | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env : SSAEnv Δ
r : List (TypedArg Δ)
env' : SSAEnv Δ
left✝ : [] = r
right✝ : env = env'
⊢ env' = env | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env' : SSAEnv Δ
⊢ env' = env' |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
env' : SSAEnv Δ
⊢ env' = env' | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp [denoteOpArgs] at H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | have ⟨headName, headτ⟩ := head | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp_monad at * | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | revert H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | cases Hhead: TopM.get headτ headName env <;> simp <;> intros H <;> try contradiction | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | case ok
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | case ok r =>
rw [TopM.get_unfold] at Hhead
have ⟨rRes, rEnv⟩ := r; simp at Hhead; cases Hhead; subst rEnv
simp [denoteOpArgs] at HInd
split at H <;> try contradiction
case h_2 tailR HTailR =>
have ⟨tailRes, tailEnv⟩ := tailR
simp at *
specialize HInd HTailR
cases H; subst env'
assumption | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | rw [TopM.get_unfold] at Hhead | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | have ⟨rRes, rEnv⟩ := r | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp at Hhead | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | cases Hhead | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail env = Excep... | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | subst rEnv | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail ... | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp [denoteOpArgs] at HInd | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
denoteOpArgs Δ tail ... | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | split at H <;> try contradiction | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun ... | case intro.h_2
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | case h_2 tailR HTailR =>
have ⟨tailRes, tailEnv⟩ := tailR
simp at *
specialize HInd HTailR
cases H; subst env'
assumption | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun x => do
... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | contradiction | case intro.h_1
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | have ⟨tailRes, tailEnv⟩ := tailR | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun x => do
... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun x => do
... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | simp at * | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun x => do
... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun x => do
... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | specialize HInd HTailR | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
HInd :
∀ ⦃env : SSAEnv Δ⦄ ⦃r : List (TypedArg Δ)⦄ ⦃env' : SSAEnv Δ⦄,
mapM
(fun x => do
... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
env : SSAEnv Δ
r✝ : List (TypedArg Δ)
env' : SSAEnv Δ
headName : SSAVal
headτ : MLIRType Δ
r : MLIRType.ev... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | cases H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
env : SSAEnv Δ
r✝ : List (TypedArg Δ)
env' : SSAEnv Δ
headName : SSAVal
headτ : MLIRType Δ
r : MLIRType.ev... | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
env : SSAEnv Δ
r✝ : List (TypedArg Δ)
env' : SSAEnv Δ
headName : SSAVal
headτ : MLIRType Δ
r : ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | subst env' | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
env : SSAEnv Δ
r✝ : List (TypedArg Δ)
env' : SSAEnv Δ
headName : SSAVal
headτ : MLIRType Δ
r : ... | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
env : SSAEnv Δ
r✝ : List (TypedArg Δ)
headName : SSAVal
headτ : MLIRType Δ
r : MLIRType.eval he... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteOpArgs_res | [678, 1] | [703, 15] | assumption | case intro
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α✝ σ✝ : Type
ε✝ : σ✝ → Type
Δ : Dialect α✝ σ✝ ε✝
S : Semantics Δ
head : TypedSSAVal Δ
tail : List (TypedSSAVal Δ)
env : SSAEnv Δ
r✝ : List (TypedArg Δ)
headName : SSAVal
headτ : MLIRType Δ
r : MLIRType.eval he... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | intros H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
vals : List SSAVal
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
⊢ denoteTypedArgs (argsHead :: argsTail) vals env = Except.ok (res, env'... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
vals : List SSAVal
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
H : denoteTypedArgs (argsHead :: argsTail) vals env = Except.ok (res, en... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | simp [denoteTypedArgs] at H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
vals : List SSAVal
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
H : denoteTypedArgs (argsHead :: argsTail) vals env = Except.ok (res, en... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
vals : List SSAVal
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
H :
(match vals with
| [] => TopM.raiseUB "not enough names in d... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | cases vals <;> try contradiction | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
vals : List SSAVal
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
H :
(match vals with
| [] => TopM.raiseUB "not enough names in d... | case cons
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
head✝ : SSAVal
tail✝ : List SSAVal
H :
(match head✝ :: tail✝ with
| [] =>... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | case cons headVal tailVal =>
exists headVal
exists tailVal
simp_monad at *
revert H
split <;> intros H <;> try contradiction
case h_2 v Hv =>
have ⟨fst, snd⟩ := v; cases fst
case unit =>
simp_semantics_monad at *
revert Hv; split <;> intros Hv <;> try contradiction
simp at Hv; subst snd
simp [H] | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match headVal :: tailVal with
| [] => T... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | contradiction | case nil
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
H :
(match [] with
| [] => TopM.raiseUB "not enough names in denoteTypedAr... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | exists headVal | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match headVal :: tailVal with
| [] => T... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match headVal :: tailVal with
| [] => T... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | exists tailVal | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match headVal :: tailVal with
| [] => T... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match headVal :: tailVal with
| [] => T... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | simp_monad at * | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match headVal :: tailVal with
| [] => T... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match TopM.set argsHead.fst headVal argsHead.... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | revert H | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
H :
(match TopM.set argsHead.fst headVal argsHead.... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
⊢ (match TopM.set argsHead.fst headVal argsHead.snd ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | split <;> intros H <;> try contradiction | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
⊢ (match TopM.set argsHead.fst headVal argsHead.snd ... | case h_2
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSA... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | case h_2 v Hv =>
have ⟨fst, snd⟩ := v; cases fst
case unit =>
simp_semantics_monad at *
revert Hv; split <;> intros Hv <;> try contradiction
simp at Hv; subst snd
simp [H] | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | contradiction | case h_1
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSA... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | have ⟨fst, snd⟩ := v | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | cases fst | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... | case unit
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SS... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | case unit =>
simp_semantics_monad at *
revert Hv; split <;> intros Hv <;> try contradiction
simp at Hv; subst snd
simp [H] | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... | no goals |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | simp_semantics_monad at * | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | revert Hv | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | split <;> intros Hv <;> try contradiction | α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝ : Except (String × SSAEnv δ) (Unit × SSAEnv δ)
v ... | case h_2
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝¹ : Except (String × SSAEnv δ) (Unit × SS... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | simp at Hv | case h_2
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝¹ : Except (String × SSAEnv δ) (Unit × SS... | case h_2
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝¹ : Except (String × SSAEnv δ) (Unit × SS... |
https://github.com/opencompl/lean-mlir.git | e43d21592801e5e40477b14b7a554e356060c40c | MLIR/Semantics/Semantics.lean | denoteTypedArgs_cons_args | [705, 1] | [729, 11] | subst snd | case h_2
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝¹ : Except (String × SSAEnv δ) (Unit × SS... | case h_2
α₁ σ₁ : Type
ε₁ : σ₁ → Type
δ₁ : Dialect α₁ σ₁ ε₁
α₂ σ₂ : Type
ε₂ : σ₂ → Type
δ₂ : Dialect α₂ σ₂ ε₂
α σ : Type
ε : σ → Type
δ : Dialect α σ ε
argsHead : TypedArg δ
argsTail : TypedArgs δ
env : SSAEnv δ
res : Unit
env' : SSAEnv δ
headVal : SSAVal
tailVal : List SSAVal
x✝¹ : Except (String × SSAEnv δ) (Unit × SS... |
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