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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 Crégut (CNET, Lannion, France) *)
(* *)
(**************************************************************************)
(* $Id: Omega.v,v 1.1.2.1 2004/07/16 19:30:17 herbelin Exp $ *)
(* We do not require [ZArith] anymore, but only what's necessary for Omega *)
Require Export ZArith_base.
Require Export OmegaLemmas.
Hints Resolve Zle_n Zplus_sym Zplus_assoc Zmult_sym Zmult_assoc
Zero_left Zero_right Zmult_one Zplus_inverse_l Zplus_inverse_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 eq_nat_Omega : zarith := Extern 10 (eq nat ? ?) Abstract Omega.
Hint le_Omega : zarith := Extern 10 (le ? ?) Abstract Omega.
Hint lt_Omega : zarith := Extern 10 (lt ? ?) Abstract Omega.
Hint ge_Omega : zarith := Extern 10 (ge ? ?) Abstract Omega.
Hint gt_Omega : zarith := Extern 10 (gt ? ?) Abstract Omega.
Hint not_eq_nat_Omega : zarith := Extern 10 ~(eq nat ? ?) Abstract Omega.
Hint not_le_Omega : zarith := Extern 10 ~(le ? ?) Abstract Omega.
Hint not_lt_Omega : zarith := Extern 10 ~(lt ? ?) Abstract Omega.
Hint not_ge_Omega : zarith := Extern 10 ~(ge ? ?) Abstract Omega.
Hint not_gt_Omega : zarith := Extern 10 ~(gt ? ?) Abstract Omega.
Hint eq_Z_Omega : zarith := Extern 10 (eq Z ? ?) Abstract Omega.
Hint Zle_Omega : zarith := Extern 10 (Zle ? ?) Abstract Omega.
Hint Zlt_Omega : zarith := Extern 10 (Zlt ? ?) Abstract Omega.
Hint Zge_Omega : zarith := Extern 10 (Zge ? ?) Abstract Omega.
Hint Zgt_Omega : zarith := Extern 10 (Zgt ? ?) Abstract Omega.
Hint not_eq_nat_Omega : zarith := Extern 10 ~(eq Z ? ?) Abstract Omega.
Hint not_Zle_Omega : zarith := Extern 10 ~(Zle ? ?) Abstract Omega.
Hint not_Zlt_Omega : zarith := Extern 10 ~(Zlt ? ?) Abstract Omega.
Hint not_Zge_Omega : zarith := Extern 10 ~(Zge ? ?) Abstract Omega.
Hint not_Zgt_Omega : zarith := Extern 10 ~(Zgt ? ?) Abstract Omega.
Hint false_Omega : zarith := Extern 10 False Abstract Omega.
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