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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 (* This file was automatically generated: do not edit *********************)
16
17 include "Coq.ma".
18
19 (*#**********************************************************************)
20
21 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)
22
23 (* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
24
25 (*   \VV/  *************************************************************)
26
27 (*    //   *      This file is distributed under the terms of the      *)
28
29 (*         *       GNU Lesser General Public License Version 2.1       *)
30
31 (*#**********************************************************************)
32
33 (*i $Id: Compare_dec.v,v 1.13 2003/11/29 17:28:28 herbelin Exp $ i*)
34
35 include "Arith/Le.ma".
36
37 include "Arith/Lt.ma".
38
39 include "Arith/Gt.ma".
40
41 include "Logic/Decidable.ma".
42
43 (* UNEXPORTED
44 Open Local Scope nat_scope.
45 *)
46
47 (* UNEXPORTED
48 Implicit Types m n x y : nat.
49 *)
50
51 inline procedural "cic:/Coq/Arith/Compare_dec/zerop.con" as definition.
52
53 inline procedural "cic:/Coq/Arith/Compare_dec/lt_eq_lt_dec.con" as definition.
54
55 inline procedural "cic:/Coq/Arith/Compare_dec/gt_eq_gt_dec.con" as lemma.
56
57 inline procedural "cic:/Coq/Arith/Compare_dec/le_lt_dec.con" as lemma.
58
59 inline procedural "cic:/Coq/Arith/Compare_dec/le_le_S_dec.con" as definition.
60
61 inline procedural "cic:/Coq/Arith/Compare_dec/le_ge_dec.con" as definition.
62
63 inline procedural "cic:/Coq/Arith/Compare_dec/le_gt_dec.con" as definition.
64
65 inline procedural "cic:/Coq/Arith/Compare_dec/le_lt_eq_dec.con" as definition.
66
67 (*#* Proofs of decidability *)
68
69 inline procedural "cic:/Coq/Arith/Compare_dec/dec_le.con" as theorem.
70
71 inline procedural "cic:/Coq/Arith/Compare_dec/dec_lt.con" as theorem.
72
73 inline procedural "cic:/Coq/Arith/Compare_dec/dec_gt.con" as theorem.
74
75 inline procedural "cic:/Coq/Arith/Compare_dec/dec_ge.con" as theorem.
76
77 inline procedural "cic:/Coq/Arith/Compare_dec/not_eq.con" as theorem.
78
79 inline procedural "cic:/Coq/Arith/Compare_dec/not_le.con" as theorem.
80
81 inline procedural "cic:/Coq/Arith/Compare_dec/not_gt.con" as theorem.
82
83 inline procedural "cic:/Coq/Arith/Compare_dec/not_ge.con" as theorem.
84
85 inline procedural "cic:/Coq/Arith/Compare_dec/not_lt.con" as theorem.
86