lean2/library/init/bool.lean

-- 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.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