lean2/hott/init/bool.hlean

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/-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: init.bool
Authors: Leonardo de Moura
-/
prelude
import init.datatypes init.reserved_notation
namespace bool
definition cond {A : Type} (b : bool) (t e : A) :=
bool.rec_on b e t
definition bor (a b : bool) :=
bool.rec_on a (bool.rec_on b ff tt) tt
notation a || b := bor a b
definition band (a b : bool) :=
bool.rec_on a ff (bool.rec_on b ff tt)
notation a && b := band a b
definition bnot (a : bool) :=
bool.rec_on a tt ff
end bool