(************************************************************************)
(*         *      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)         *)
(************************************************************************)
(*                      Evgeny Makarov, INRIA, 2007                     *)
(************************************************************************)
Require Export NAdd.
Module NOrderProp (Import N : NAxiomsMiniSig').
Include NAddProp N.
(* Theorems that are true for natural numbers but not for integers *)

Theorem lt_1_r : forall n, n < 1 <-> n == 0.