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(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
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(*                      Evgeny Makarov, INRIA, 2007                     *)
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Require Export Decidable.
Require Export ZAxioms.
Module ZBaseProp (Import Z : ZAxiomsMiniSig').
Include NZMulOrderProp Z.
(* Theorems that are true for integers but not for natural numbers *)

(* Specifications: *)
Theorem pred_inj : forall n m, P n == P m -> n == m.
Theorem pred_inj_wd : forall n1 n2, P n1 == P n2 <-> n1 == n2.
Lemma succ_m1 : S (-1) == 0.
End ZBaseProp.