]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/formal_topology/overlap/concrete_spaces_to_o-concrete_spaces.ma
moved formal_topology into library"
[helm.git] / helm / software / matita / contribs / formal_topology / overlap / concrete_spaces_to_o-concrete_spaces.ma
diff --git a/helm/software/matita/contribs/formal_topology/overlap/concrete_spaces_to_o-concrete_spaces.ma b/helm/software/matita/contribs/formal_topology/overlap/concrete_spaces_to_o-concrete_spaces.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "concrete_spaces.ma".
-include "o-concrete_spaces.ma".
-include "basic_pairs_to_o-basic_pairs.ma".
-
-(*
-(* Qui, per fare le cose per bene, ci serve la nozione di funtore categorico *)
-definition o_concrete_space_of_concrete_space: cic:/matita/formal_topology/concrete_spaces/concrete_space.ind#xpointer(1/1) â†’ concrete_space.
- intro;
- constructor 1;
-  [ apply (o_basic_pair_of_basic_pair (bp c));
-  | lapply depth=0 (downarrow c);
-    constructor 1;
-     [ apply 
-     |
-    apply (o_operator_of_operator);fintersectsS);
-  |
-  |
-  |
-  |
-  |
-  ]
-qed.
-
-definition o_convergent_relation_pair_of_convergent_relation_pair:
- âˆ€BP1,BP2.cic:/matita/formal_topology/concrete_spaces/convergent_relation_pair.ind#xpointer(1/1) BP1 BP2 â†’
-  convergent_relation_pair (o_concrete_space_of_concrete_space BP1) (o_concrete_space_of_concrete_space BP2).
- intros;
- constructor 1;
-  [ apply (orelation_of_relation ?? (r \sub \c));
-  | apply (orelation_of_relation ?? (r \sub \f));
-  | lapply (commute ?? r);
-    lapply (orelation_of_relation_preserves_equality ???? Hletin);
-    apply (.= (orelation_of_relation_preserves_composition (concr BP1) ??? (rel BP2)) ^ -1);
-    apply (.= (orelation_of_relation_preserves_equality ???? (commute ?? r)));
-    apply (orelation_of_relation_preserves_composition ?? (form BP2)  (rel BP1) ?); ]
-qed.
-
-*)
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