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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/metrics/Equiv".
19 (* $Id: Equiv.v,v 1.4 2004/04/23 10:01:02 lcf Exp $ *)
29 (*#* **Equivalent Pseudo Metric Spaces
33 We say that two pseudo metric spaces are equivalent, when there exists a
34 bijective, structure-preserving function between them.
37 inline cic:/CoRN/metrics/Equiv/equivalent_psmetric.con.
39 inline cic:/CoRN/metrics/Equiv/isopsmetry.con.
42 Implicit Arguments isopsmetry [X Y].
45 inline cic:/CoRN/metrics/Equiv/isopsmetry_imp_bij.con.
47 inline cic:/CoRN/metrics/Equiv/isopsmetry_imp_lipschitz.con.
49 inline cic:/CoRN/metrics/Equiv/id_is_isopsmetry.con.
51 inline cic:/CoRN/metrics/Equiv/comp_resp_isopsmetry.con.
53 inline cic:/CoRN/metrics/Equiv/inv_isopsmetry.con.
55 inline cic:/CoRN/metrics/Equiv/MSequivalent.con.
58 Not all pseudo metric spaces are equivalent:
61 inline cic:/CoRN/metrics/Equiv/MSequivalent_discr.con.