helm/software/matita/contribs/procedural/CoRN/metrics/Equiv.mma

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