(**************************************************************************)
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(*  This file is part of WP plug-in of Frama-C.                           *)
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(*  Copyright (C) 2007-2019                                               *)
(*    CEA (Commissariat a l'energie atomique et aux energies              *)
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(* This file is generated by Why3's Coq-realize driver *)
(* Beware! Only edit allowed sections below    *)
Require Import BuiltIn.
Require BuiltIn.
Require int.Int.
Require int.Abs.
Require real.Real.
Require real.RealInfix.

Require Import RIneq.

(* Why3 goal *)
Lemma abs_def : forall (x:Z), ((0%Z <= x)%Z ->
  ((ZArith.BinInt.Z.abs x) = x)) /\ ((~ (0%Z <= x)%Z) ->
  ((ZArith.BinInt.Z.abs x) = (-x)%Z)).
Proof.
exact int.Abs.abs_def.
Qed.

