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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
23 lines
735 B
Text
23 lines
735 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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set_option pp.all true
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structure applicative.{u₁ u₂} [class] (f : Type.{u₁} → Type.{u₂}) extends functor f : Type.{max u₁+1 u₂} :=
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(pure : Π {A : Type.{u₁}}, A → f A)
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(seq : Π {A B : Type.{u₁}}, f (A → B) → f A → f B)
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attribute [inline]
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definition pure {f : Type → Type} [applicative f] {A : Type} (a : A) : f A :=
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applicative.pure f a
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attribute [inline]
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definition seq_app {A B : Type} {f : Type → Type} [applicative f] (g : f (A → B)) (a : f A) : f B :=
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applicative.seq g a
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infixr ` <*> `:2 := seq_app
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