lean4-htt/library/init/bool.lean

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-- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
prelude
import init.core
@[inline] def {u} cond {a : Type u} : bool → a → a → a
| tt x y := x
| ff x y := y
@[inline] def bor : bool → bool → bool
| tt _ := tt
| ff tt := tt
| ff ff := ff
@[inline] def band : bool → bool → bool
| ff _ := ff
| tt ff := ff
| tt tt := tt
@[inline] def bnot : bool → bool
| tt := ff
| ff := tt
@[inline] def bxor : bool → bool → bool
| tt ff := tt
| ff tt := tt
| _ _ := ff
notation x || y := bor x y
notation x && y := band x y