lean4-htt/tests/lean/run/struct3.lean
Leonardo de Moura 7434d3dcdb test: structure
2020-07-27 16:07:19 -07:00

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new_frontend
universes u v
class HasBind2 (m : Type u → Type v) :=
(bind : ∀ {α β : Type u}, m α → (α → m β) → m β)
set_option pp.all true
class Monad2 (m : Type u → Type v) extends Applicative m, HasBind2 m : Type (max (u+1) v) :=
(map := fun f x => HasBind2.bind x (pure ∘ f))
(seq := fun f x => HasBind2.bind f fun y => Functor.map y x)
(seqLeft := fun x y => HasBind2.bind x fun a => HasBind2.bind y fun _ => pure a)
(seqRight := @fun β x y => HasBind2.bind x fun _ => y) -- Recall that `@` disables implicit lambda support