basic topologies are trivially o-basic topologies

the same for their morphisms

diff --git a/helm/software/matita/contribs/formal_topology/overlap/basic_topologies_to_o-basic_topologies.ma b/helm/software/matita/contribs/formal_topology/overlap/basic_topologies_to_o-basic_topologies.ma
index 282519dc7db6166cb5529ff50311a749fe44ec5c..6b6469f271e72380c0fb08bdfddd6322737ff051 100644 (file)
--- a/helm/software/matita/contribs/formal_topology/overlap/basic_topologies_to_o-basic_topologies.ma
+++ b/helm/software/matita/contribs/formal_topology/overlap/basic_topologies_to_o-basic_topologies.ma
@@ -16,11 +16,10 @@ include "basic_topologies.ma".
 include "o-basic_topologies.ma".
 include "relations_to_o-algebra.ma".
 
-(* Qui, per fare le cose per bene, ci serve la nozione di funtore categorico *)
 definition o_basic_topology_of_basic_topology: cic:/matita/formal_topology/basic_topologies/basic_topology.ind#xpointer(1/1) → basic_topology.
  intro;
  constructor 1;
-  [ apply (SUBSETS (carrbt b));
+  [ apply (SUBSETS b);
   | apply (A b);
   | apply (J b);
   | apply (A_is_saturation b);
@@ -28,12 +27,12 @@ definition o_basic_topology_of_basic_topology: cic:/matita/formal_topology/basic
   | apply (compatibility b); ]
 qed.
 
-definition o_relation_pair_of_relation_pair:
- ∀S,T.cic:/matita/formal_topology/basic_topologies/continuous_relation.ind#xpointer(1/1) S T →
-  continuous_relation (o_basic_topology_of_basic_topology S) (o_basic_topology_of_basic_topology T).
+definition o_continuous_relation_of_continuous_relation:
+ ∀BT1,BT2.cic:/matita/formal_topology/basic_topologies/continuous_relation.ind#xpointer(1/1) BT1 BT2 →
+  continuous_relation (o_basic_topology_of_basic_topology BT1) (o_basic_topology_of_basic_topology BT2).
  intros;
  constructor 1;
-  [ apply (orelation_of_relation ?? (cont_rel ?? c));
+  [ apply (orelation_of_relation ?? c);
   | apply (reduced ?? c);
   | apply (saturated ?? c); ]
-qed.
\ No newline at end of file
+qed.

diff --git a/helm/software/matita/contribs/formal_topology/overlap/depends b/helm/software/matita/contribs/formal_topology/overlap/depends
index 63392b5b37072fc85508bbef934fbfab9a1d9351..8b334f1f612f274e8df2117c4b688810774ca3dc 100644 (file)
--- a/helm/software/matita/contribs/formal_topology/overlap/depends
+++ b/helm/software/matita/contribs/formal_topology/overlap/depends
@@ -1,22 +1,22 @@
 o-basic_pairs.ma o-algebra.ma
 o-concrete_spaces.ma o-basic_pairs.ma o-saturations.ma
 o-saturations.ma o-algebra.ma
-saturations.ma relations.ma
 basic_pairs.ma relations.ma
+saturations.ma relations.ma
 o-algebra.ma categories.ma
 o-formal_topologies.ma o-basic_topologies.ma
-formal_topologies.ma basic_topologies.ma
 categories.ma cprop_connectives.ma
+formal_topologies.ma basic_topologies.ma
 saturations_to_o-saturations.ma o-saturations.ma relations_to_o-algebra.ma saturations.ma
-basic_topologies.ma relations.ma saturations.ma
 subsets.ma categories.ma
+basic_topologies.ma relations.ma saturations.ma
 concrete_spaces.ma basic_pairs.ma
 relations.ma subsets.ma
 concrete_spaces_to_o-concrete_spaces.ma basic_pairs_to_o-basic_pairs.ma concrete_spaces.ma o-concrete_spaces.ma
 o-basic_topologies.ma o-algebra.ma o-saturations.ma
-basic_topologies_to_o-basic_topologies.ma basic_topologies.ma o-basic_topologies.ma relations_to_o-algebra.ma
 basic_pairs_to_o-basic_pairs.ma basic_pairs.ma o-basic_pairs.ma relations_to_o-algebra.ma
+basic_topologies_to_o-basic_topologies.ma basic_topologies.ma o-basic_topologies.ma relations_to_o-algebra.ma
 cprop_connectives.ma logic/connectives.ma
 relations_to_o-algebra.ma o-algebra.ma relations.ma
-o-basic_pairs_to_o-basic_topologies.ma concrete_spaces.ma o-basic_pairs.ma o-basic_topologies.ma
+o-basic_pairs_to_o-basic_topologies.ma o-basic_pairs.ma o-basic_topologies.ma
 logic/connectives.ma