23 lines
735 B
Text
23 lines
735 B
Text
/-
|
|
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
|
|
Released under Apache 2.0 license as described in the file LICENSE.
|
|
Author: Leonardo de Moura
|
|
-/
|
|
prelude
|
|
import init.functor
|
|
|
|
set_option pp.all true
|
|
|
|
structure [class] applicative.{u₁ u₂} (f : Type.{u₁} → Type.{u₂}) extends functor f : Type.{max u₁+1 u₂} :=
|
|
(pure : Π {A : Type.{u₁}}, A → f A)
|
|
(seq : Π {A B : Type.{u₁}}, f (A → B) → f A → f B)
|
|
|
|
attribute [inline]
|
|
definition pure {f : Type → Type} [applicative f] {A : Type} (a : A) : f A :=
|
|
applicative.pure f a
|
|
|
|
attribute [inline]
|
|
definition seq_app {A B : Type} {f : Type → Type} [applicative f] (g : f (A → B)) (a : f A) : f B :=
|
|
applicative.seq g a
|
|
|
|
infixr ` <*> `:2 := seq_app
|