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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 *)
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19 (*#**********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * INRIA-Rocquencourt & LRI-CNRS-Orsay *)
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27 (* // * This file is distributed under the terms of the *)
29 (* * GNU Lesser General Public License Version 2.1 *)
31 (*#**********************************************************************)
33 include "Num/NeqParams.ma".
35 include "Num/NeqAxioms.ma".
37 include "Num/EqParams.ma".
39 include "Num/EqAxioms.ma".
41 (*#* This file contains basic properties of disequality *)
43 inline procedural "cic:/Coq/Num/NeqProps/neq_antirefl.con" as lemma.
46 Hints Resolve neq_antirefl : num.
49 inline procedural "cic:/Coq/Num/NeqProps/eq_not_neq_y_x.con" as lemma.
52 Hints Immediate eq_not_neq_y_x : num.
55 inline procedural "cic:/Coq/Num/NeqProps/neq_not_eq.con" as lemma.
58 Hints Immediate neq_not_eq : num.
61 inline procedural "cic:/Coq/Num/NeqProps/neq_not_eq_y_x.con" as lemma.
64 Hints Immediate neq_not_eq_y_x : num.
67 inline procedural "cic:/Coq/Num/NeqProps/not_neq_neq_trans.con" as lemma.
70 Hints Resolve not_neq_neq_trans : num.
73 inline procedural "cic:/Coq/Num/NeqProps/neq_eq_compat.con" as lemma.