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2 Commits

Author SHA1 Message Date
Kim Morrison
4b0f63e3a9 remove duplicate 2024-09-30 09:24:02 +10:00
Kim Morrison
5ef980d70d chore: more monadic simp lemmas 2024-09-29 22:08:27 +10:00
2 changed files with 8 additions and 0 deletions

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@@ -133,6 +133,9 @@ theorem seqLeft_eq_bind [Monad m] [LawfulMonad m] (x : m α) (y : m β) : x <* y
rw [ bind_pure_comp]
simp only [bind_assoc, pure_bind]
@[simp] theorem Functor.map_unit [Monad m] [LawfulMonad m] {a : m PUnit} : (fun _ => PUnit.unit) <$> a = a := by
simp [map]
/--
An alternative constructor for `LawfulMonad` which has more
defaultable fields in the common case.

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@@ -84,6 +84,11 @@ instance [Monad m] [LawfulMonad m] : LawfulMonad (ExceptT ε m) where
pure_bind := by intros; apply ext; simp [run_bind]
bind_assoc := by intros; apply ext; simp [run_bind]; apply bind_congr; intro a; cases a <;> simp
@[simp] theorem map_throw [Monad m] [LawfulMonad m] {α β : Type _} (f : α β) (e : ε) :
f <$> (throw e : ExceptT ε m α) = (throw e : ExceptT ε m β) := by
simp only [ExceptT.instMonad, ExceptT.map, ExceptT.mk, throw, throwThe, MonadExceptOf.throw,
pure_bind]
end ExceptT
/-! # Except -/