(**************************************************************************)
(*       ___                                                              *)
(*      ||M||                                                             *)
(*      ||A||       A project by Andrea Asperti                           *)
(*      ||T||                                                             *)
(*      ||I||       Developers:                                           *)
(*      ||T||         The HELM team.                                      *)
(*      ||A||         http://helm.cs.unibo.it                             *)
(*      \   /                                                             *)
(*       \ /        This file is distributed under the terms of the       *)
(*        v         GNU General Public License Version 2                  *)
(*                                                                        *)
(**************************************************************************)

(* This file was automatically generated: do not edit *********************)

include "Coq.ma".

(*#**********************************************************************)

(*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)

(* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)

(*   \VV/  *************************************************************)

(*    //   *      This file is distributed under the terms of the      *)

(*         *       GNU Lesser General Public License Version 2.1       *)

(*#**********************************************************************)

(*i $Id: NeqDef.v,v 1.6 2003/10/22 10:35:03 barras Exp $ i*)

(*#* DisEquality is defined as the negation of equality *)

include "Num/Params.ma".

include "Num/EqParams.ma".

include "Num/EqAxioms.ma".

inline procedural "cic:/Coq/Num/NeqDef/neq.con" as definition.

(* NOTATION
Infix 6 "<>" neq V8only 70.
*)

(* Proofs of axioms *)

inline procedural "cic:/Coq/Num/NeqDef/eq_not_neq.con" as lemma.

(* UNEXPORTED
Hints Immediate eq_not_neq : num.
*)

inline procedural "cic:/Coq/Num/NeqDef/neq_sym.con" as lemma.

(* UNEXPORTED
Hints Resolve neq_sym : num.
*)

inline procedural "cic:/Coq/Num/NeqDef/neq_not_neq_trans.con" as lemma.

(* UNEXPORTED
Hints Resolve neq_not_neq_trans : num.
*)