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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        *)
+(************************************************************************)
+
+(* $Id: ZArithRing.v,v 1.5.2.1 2004/07/16 19:30:13 herbelin Exp $ *)
+
+(* Instantiation of the Ring tactic for the binary integers of ZArith *)
+
+Require Export ArithRing.
+Require Export ZArith_base.
+Require Import Eqdep_dec.
+
+Definition Zeq (x y:Z) :=
+  match (x ?= y)%Z with
+  | Datatypes.Eq => true
+  | _ => false
+  end.
+
+Lemma Zeq_prop : forall x y:Z, Is_true (Zeq x y) -> x = y.
+  intros x y H; unfold Zeq in H.
+  apply Zcompare_Eq_eq.
+  destruct (x ?= y)%Z; [ reflexivity | contradiction | contradiction ].
+Qed.
+
+Definition ZTheory : Ring_Theory Zplus Zmult 1%Z 0%Z Zopp Zeq.
+  split; intros; apply eq2eqT; eauto with zarith.
+  apply eqT2eq; apply Zeq_prop; assumption.
+Qed.
+
+(* NatConstants and NatTheory are defined in Ring_theory.v *)
+Add Ring Z Zplus Zmult 1%Z 0%Z Zopp Zeq ZTheory
+ [ Zpos Zneg 0%Z xO xI 1%positive ].
+\ No newline at end of file