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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(**************************************************************************)
(* *)
(* Omega: a solver of quantifier-free problems in Presburger Arithmetic *)
(* *)
(* Pierre Crgut (CNET, Lannion, France) *)
(* *)
(**************************************************************************)
(* $Id: Omega.v,v 1.10.2.1 2004/07/16 19:30:12 herbelin Exp $ *)
(* We do not require [ZArith] anymore, but only what's necessary for Omega *)
Require Export ZArith_base.
Require Export OmegaLemmas.
Hint Resolve Zle_refl Zplus_comm Zplus_assoc Zmult_comm Zmult_assoc Zplus_0_l
Zplus_0_r Zmult_1_l Zplus_opp_l Zplus_opp_r Zmult_plus_distr_l
Zmult_plus_distr_r: zarith.
Require Export Zhints.
(*
(* The constant minus is required in coq_omega.ml *)
Require Minus.
*)
Hint Extern 10 (_ = _ :>nat) => abstract omega: zarith.
Hint Extern 10 (_ <= _) => abstract omega: zarith.
Hint Extern 10 (_ < _) => abstract omega: zarith.
Hint Extern 10 (_ >= _) => abstract omega: zarith.
Hint Extern 10 (_ > _) => abstract omega: zarith.
Hint Extern 10 (_ <> _ :>nat) => abstract omega: zarith.
Hint Extern 10 (~ _ <= _) => abstract omega: zarith.
Hint Extern 10 (~ _ < _) => abstract omega: zarith.
Hint Extern 10 (~ _ >= _) => abstract omega: zarith.
Hint Extern 10 (~ _ > _) => abstract omega: zarith.
Hint Extern 10 (_ = _ :>Z) => abstract omega: zarith.
Hint Extern 10 (_ <= _)%Z => abstract omega: zarith.
Hint Extern 10 (_ < _)%Z => abstract omega: zarith.
Hint Extern 10 (_ >= _)%Z => abstract omega: zarith.
Hint Extern 10 (_ > _)%Z => abstract omega: zarith.
Hint Extern 10 (_ <> _ :>Z) => abstract omega: zarith.
Hint Extern 10 (~ (_ <= _)%Z) => abstract omega: zarith.
Hint Extern 10 (~ (_ < _)%Z) => abstract omega: zarith.
Hint Extern 10 (~ (_ >= _)%Z) => abstract omega: zarith.
Hint Extern 10 (~ (_ > _)%Z) => abstract omega: zarith.
Hint Extern 10 False => abstract omega: zarith.
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