aboutsummaryrefslogtreecommitdiffhomepage
path: root/theories/Num/GeAxioms.v
blob: b618fca7852323bb15c616ab6381d7a018093031 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

(*i $Id$ i*)

Require Export Axioms.
Require Export LtProps.

(** Axiomatizing [>=] from [<] *)

Axiom not_lt_ge : (x,y:N)~(x<y)->(x>=y).
Axiom ge_not_lt : (x,y:N)(x>=y)->~(x<y).

Hints Resolve not_lt_ge : num.
Hints Immediate ge_not_lt : num.