1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 (*#**********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
25 (* \VV/ *************************************************************)
27 (* // * This file is distributed under the terms of the *)
29 (* * GNU Lesser General Public License Version 2.1 *)
31 (*#**********************************************************************)
33 (*i $Id: NeqDef.v,v 1.6 2003/10/22 10:35:03 barras Exp $ i*)
35 (*#* DisEquality is defined as the negation of equality *)
37 include "Num/Params.ma".
39 include "Num/EqParams.ma".
41 include "Num/EqAxioms.ma".
43 inline procedural "cic:/Coq/Num/NeqDef/neq.con" as definition.
46 Infix 6 "<>" neq V8only 70.
49 (* Proofs of axioms *)
51 inline procedural "cic:/Coq/Num/NeqDef/eq_not_neq.con" as lemma.
54 Hints Immediate eq_not_neq : num.
57 inline procedural "cic:/Coq/Num/NeqDef/neq_sym.con" as lemma.
60 Hints Resolve neq_sym : num.
63 inline procedural "cic:/Coq/Num/NeqDef/neq_not_neq_trans.con" as lemma.
66 Hints Resolve neq_not_neq_trans : num.