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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 set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/subsets_defs".
16
17 include "qd_defs.ma".
18
19 (* SUBSETS
20    - We use predicative subsets coded as propositional functions
21      according to G.Sambin and S.Valentini "Toolbox" 
22 *)
23
24 definition Subset \def \forall (D:QD). D \to Prop.
25
26 alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
27 definition stop \def \lambda (D:QD). \lambda (a:(ac (qd D))). True.