blob: 85bd1665659ade3eacd622ec1eb11e6a789ed2fe (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
|
(***********************************************************************)
(* 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 $Id$ i*)
(** InEquality is introduced as an independant parameter, it could be
instantiated with the negation of equality *)
Require Export EqParams.
Require Export NeqParams.
Axiom eq_not_neq : (x,y:N)x=y->~(x<>y).
Hints Immediate eq_not_neq : num.
Axiom neq_sym : (x,y:N)(x<>y)->(y<>x).
Hints Resolve neq_sym : num.
Axiom neq_not_neq_trans : (x,y,z:N)(x<>y)->~(y<>z)->(x<>z).
Hints Resolve neq_not_neq_trans : num.
|
