https://github.com/EasyCrypt/easycrypt
Tip revision: 7f8694347e0a621142308984683fcbe09d1efd4d authored by Pierre-Yves Strub on 02 June 2020, 13:57:30 UTC
Tip revision: 7f86943
Bool.ec
(* --------------------------------------------------------------------
* Copyright (c) - 2012--2016 - IMDEA Software Institute
* Copyright (c) - 2012--2018 - Inria
* Copyright (c) - 2012--2018 - Ecole Polytechnique
*
* Distributed under the terms of the CeCILL-B-V1 license
* -------------------------------------------------------------------- *)
(* -------------------------------------------------------------------- *)
require FinType.
op (^^) (b1 b2:bool) = b1 = !b2.
lemma nosmt xor_false b: b ^^ false = b
by [].
lemma nosmt xor_true b: b ^^ true = !b
by [].
lemma nosmt xorA b1 b2 b3: (b1 ^^ b2) ^^ b3 = b1 ^^ (b2 ^^ b3)
by [].
lemma nosmt xorC b1 b2: b1 ^^ b2 = b2 ^^ b1
by [].
lemma nosmt xorK b: b ^^ b = false
by [].
clone FinType as BoolFin with
type t <- bool,
op enum <- List.(::) true (List.(::) false List."[]"),
op card <- 2
proof enum_spec by case.