23 lines
719 B
Text
23 lines
719 B
Text
/-
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Copyright (c) Luke Nelson and Jared Roesch. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura, Luke Nelson, Jared Roesch, Sebastian Ullrich
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-/
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prelude
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import init.control.applicative
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universes u v
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open Function
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class HasBind (m : Type u → Type v) :=
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(bind : Π {α β : Type u}, m α → (α → m β) → m β)
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export HasBind (bind)
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infixl ` >>= `:55 := bind
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class Monad (m : Type u → Type v) extends Applicative m, HasBind m : Type (max (u+1) v) :=
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(map := λ α β f x, x >>= pure ∘ f)
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(Seq := λ α β f x, f >>= (<$> x))
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(seqLeft := λ α β x y, x >>= λ a, y >>= λ _, pure a)
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(seqRight := λ α β x y, x >>= λ _, y)
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