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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 *)
+(************************************************************************)
+
+Require Export Ring.
+Require Import ZArith_base.
+Require Import Zpow_def.
+
+Import InitialRing.
+
+Set Implicit Arguments.
+
+Ltac Zcst t :=
+ match isZcst t with
+ true => t
+ | _ => constr:NotConstant
+ end.
+
+Ltac isZpow_coef t :=
+ match t with
+ | Zpos ?p => isPcst p
+ | Z0 => constr:true
+ | _ => constr:false
+ end.
+
+Definition N_of_Z x :=
+ match x with
+ | Zpos p => Npos p
+ | _ => N0
+ end.
+
+Ltac Zpow_tac t :=
+ match isZpow_coef t with
+ | true => constr:(N_of_Z t)
+ | _ => constr:NotConstant
+ end.
+
+Ltac Zpower_neg :=
+ repeat match goal with
+ | [|- ?G] =>
+ match G with
+ | context c [Zpower _ (Zneg _)] =>
+ let t := context c [Z0] in
+ change t
+ end
+ end.
+
+Add Ring Zr : Zth
+ (decidable Zeq_bool_eq, constants [Zcst], preprocess [Zpower_neg;unfold Zsucc],
+ power_tac Zpower_theory [Zpow_tac],
+ (* The two following option are not needed, it is the default chose when the set of
+ coefficiant is usual ring Z *)
+ div (InitialRing.Ztriv_div_th (@Eqsth Z) (@IDphi Z)),
+ sign get_signZ_th).
+
+