22 lines
695 B
Text
22 lines
695 B
Text
/-
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Copyright (c) 2016 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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-/
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prelude
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import init.functor
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universe variables u v
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structure [class] applicative (F : Type u → Type v) extends functor F : Type (max u+1 v):=
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(pure : Π {A : Type u}, A → F A)
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(seq : Π {A B : Type u}, F (A → B) → F A → F B)
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attribute [inline]
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definition pure {F : Type u → Type v} [applicative F] {A : Type u} : A → F A :=
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applicative.pure F
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attribute [inline]
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definition seq_app {A B : Type u} {F : Type u → Type v} [applicative F] : F (A → B) → F A → F B :=
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applicative.seq
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infixr ` <*> `:2 := seq_app
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