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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 set "baseuri" "cic:/matita/CoRN-Decl/metrics/Equiv".
18
19 include "CoRN.ma".
20
21 (* $Id: Equiv.v,v 1.4 2004/04/23 10:01:02 lcf Exp $ *)
22
23 include "metrics/IR_CPMSpace.ma".
24
25 (* UNEXPORTED
26 Section equivalent
27 *)
28
29 (*#* **Equivalent Pseudo Metric Spaces
30 *)
31
32 (*#*
33 We say that two pseudo metric spaces are equivalent, when there exists a 
34 bijective, structure-preserving function between them.
35 *)
36
37 inline "cic:/CoRN/metrics/Equiv/equivalent_psmetric.con".
38
39 inline "cic:/CoRN/metrics/Equiv/isopsmetry.con".
40
41 (* UNEXPORTED
42 Implicit Arguments isopsmetry [X Y].
43 *)
44
45 inline "cic:/CoRN/metrics/Equiv/isopsmetry_imp_bij.con".
46
47 inline "cic:/CoRN/metrics/Equiv/isopsmetry_imp_lipschitz.con".
48
49 inline "cic:/CoRN/metrics/Equiv/id_is_isopsmetry.con".
50
51 inline "cic:/CoRN/metrics/Equiv/comp_resp_isopsmetry.con".
52
53 inline "cic:/CoRN/metrics/Equiv/inv_isopsmetry.con".
54
55 inline "cic:/CoRN/metrics/Equiv/MSequivalent.con".
56
57 (*#*
58 Not all pseudo metric spaces are equivalent:
59 *)
60
61 inline "cic:/CoRN/metrics/Equiv/MSequivalent_discr.con".
62
63 (* UNEXPORTED
64 End equivalent
65 *)
66