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(**************************************************************************)
(* *)
(* This file is part of Frama-C. *)
(* *)
(* Copyright (C) 2007-2010 *)
(* CEA (Commissariat l'nergie atomique et aux nergies *)
(* alternatives) *)
(* INRIA (Institut National de Recherche en Informatique et en *)
(* Automatique) *)
(* *)
(* you can redistribute it and/or modify it under the terms of the GNU *)
(* Lesser General Public License as published by the Free Software *)
(* Foundation, version 2.1. *)
(* *)
(* It is distributed in the hope that it will be useful, *)
(* but WITHOUT ANY WARRANTY; without even the implied warranty of *)
(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *)
(* GNU Lesser General Public License for more details. *)
(* *)
(* See the GNU Lesser General Public License version v2.1 *)
(* for more details (enclosed in the file licenses/LGPLv2.1). *)
(* *)
(**************************************************************************)
include "integer.why"
axiom lt_int_bool_false :
forall x:int. forall y:int. lt_int_bool(x,y)=false <-> x>=y
axiom le_int_bool_false :
forall x:int. forall y:int. le_int_bool(x,y)=false <-> x>y
axiom gt_int_bool_false :
forall x:int. forall y:int. gt_int_bool(x,y)=false <-> x<=y
axiom ge_int_bool_false :
forall x:int. forall y:int. ge_int_bool(x,y)=false <-> x<y
axiom eq_int_bool_false :
forall x:int. forall y:int. eq_int_bool(x,y)=false <-> x<>y
axiom neq_int_bool_false :
forall x:int. forall y:int. neq_int_bool(x,y)=false <-> x=y
axiom lt_then_le :
forall x:int. forall y:int.
lt_int_bool(x,y)=true -> le_int_bool(x,y)=true
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