fd2c42a8bf
sed -Ei 's/^(\s*)((private |protected )?(noncomputable )?(abbreviation|definition|meta_definition|theorem|lemma|proposition|corollary)\s+\S+\s*)((\s*\[(\S+(\s+[0-9]+)*|priority.*)\])+)\s*/\1attribute \6\n\1\2/' library/**/*.lean tests/**/*.lean sed -Ei 's/\s+$//' library/**/*.lean # remove trailing whitespace
31 lines
1,003 B
Text
31 lines
1,003 B
Text
/-
|
|
Copyright (c) Luke Nelson and Jared Roesch. All rights reserved.
|
|
Released under Apache 2.0 license as described in the file LICENSE.
|
|
Authors: Luke Nelson and Jared Roesch
|
|
-/
|
|
prelude
|
|
import init.applicative init.string init.trace
|
|
|
|
structure monad [class] (m : Type → Type) extends functor m : Type :=
|
|
(ret : Π {a:Type}, a → m a)
|
|
(bind : Π {a b: Type}, m a → (a → m b) → m b)
|
|
|
|
attribute [inline]
|
|
definition return {m : Type → Type} [monad m] {A : Type} (a : A) : m A :=
|
|
monad.ret m a
|
|
|
|
definition fapp {m : Type → Type} [monad m] {A B : Type} (f : m (A → B)) (a : m A) : m B :=
|
|
do g ← f,
|
|
b ← a,
|
|
return (g b)
|
|
|
|
attribute [inline] [instance]
|
|
definition monad_is_applicative (m : Type → Type) [monad m] : applicative m :=
|
|
applicative.mk (@monad.map _ _) (@monad.ret _ _) (@fapp _ _)
|
|
|
|
attribute [inline]
|
|
definition monad.and_then {A B : Type} {m : Type → Type} [monad m] (a : m A) (b : m B) : m B :=
|
|
do a, b
|
|
|
|
infixl ` >>= `:2 := monad.bind
|
|
infixl ` >> `:2 := monad.and_then
|