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feat: add lemmas about EStateM.run #11600

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Merged
kim-em merged 2 commits into from
Dec 12, 2025
Merged

feat: add lemmas about EStateM.run #11600

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a4d6e5d
feat: add lemmas about `EStateM.run`
eric-wieser Dec 11, 2025
ae17f84
Fix universes
eric-wieser Dec 11, 2025
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22 changes: 22 additions & 0 deletions src/Init/Control/Lawful/Instances.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -447,6 +447,26 @@ end StateT

/-! # EStateM -/

namespace EStateM

@[simp, grind =] theorem run_pure (a : α) (s : σ) :
EStateM.run (pure a : EStateM ε σ α) s = .ok a s := rfl

@[simp, grind =] theorem run_get (s : σ) :
EStateM.run (get : EStateM ε σ σ) s = .ok s s := rfl

@[simp, grind =] theorem run_set (s₁ s₂ : σ) :
EStateM.run (set s₁ : EStateM ε σ PUnit) s₂ = .ok .unit s₁ := rfl

@[simp, grind =] theorem run_modify (f : σ → σ) (s : σ) :
EStateM.run (modify f : EStateM ε σ PUnit) s = .ok .unit (f s) := rfl

@[simp, grind =] theorem run_modifyGet (f : σ → α × σ) (s : σ) :
EStateM.run (modifyGet f : EStateM ε σ α) s = .ok (f s).1 (f s).2 := rfl

@[simp, grind =] theorem run_throw (e : ε) (s : σ):
EStateM.run (throw e : EStateM ε σ PUnit) s = .error e s := rfl

instance : LawfulMonad (EStateM ε σ) := .mk'
(id_map := fun x => funext <| fun s => by
dsimp only [EStateM.instMonad, EStateM.map]
Expand All @@ -460,3 +480,5 @@ instance : LawfulMonad (EStateM ε σ) := .mk'
| .ok _ _ => rfl
| .error _ _ => rfl)
(map_const := fun _ _ => rfl)

end EStateM
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