update in groud_2 and models

[helm.git] / helm / software / matita / library / formal_topology / concrete_spaces.ma

diff --git a/helm/software/matita/library/formal_topology/concrete_spaces.ma b/helm/software/matita/library/formal_topology/concrete_spaces.ma
index 3c03b4e667803df8815c98e4ef7806ae86b47715..69ff6f13450b519aa0cb68e5b5eae85c58672a4b 100644 (file)
--- a/helm/software/matita/library/formal_topology/concrete_spaces.ma
+++ b/helm/software/matita/library/formal_topology/concrete_spaces.ma
@@ -14,31 +14,24 @@
 
 include "formal_topology/basic_pairs.ma".
 
-record concrete_space : Type ≝
+(* carr1 e' necessario perche' ci sega via la coercion per gli oggetti di REL!
+   (confondendola con la coercion per gli oggetti di SET
+record concrete_space : Type1 ≝
  { bp:> BP;
-   converges: ∀a: concr bp.∀U,V: form bp. a ⊩ U → a ⊩ V → a ⊩ (U ↓ V);
-   all_covered: ∀x: concr bp. x ⊩ form bp
+   converges: ∀a: carr1 (concr bp).∀U,V: carr1 (form bp). a ⊩ U → a ⊩ V → a ⊩ (U ↓ V);
+   all_covered: ∀x: carr1 (concr bp). x ⊩ form bp
  }.
 
-definition bp': concrete_space → basic_pair ≝ λc.bp c.
-
-coercion bp'.
-
-record convergent_relation_pair (CS1,CS2: concrete_space) : Type ≝
+record convergent_relation_pair (CS1,CS2: concrete_space) : Type1 ≝
  { rp:> arrows1 ? CS1 CS2;
    respects_converges:
     ∀b,c.
-     extS ?? rp \sub\c (BPextS CS2 (b ↓ c)) =
-     BPextS CS1 ((extS ?? rp \sub\f b) ↓ (extS ?? rp \sub\f c));
+     minus_image ?? rp \sub\c (BPextS CS2 (b ↓ c)) =
+     BPextS CS1 ((minus_image ?? rp \sub\f b) ↓ (minus_image ?? rp \sub\f c));
    respects_all_covered:
-    extS ?? rp\sub\c (BPextS CS2 (form CS2)) = BPextS CS1 (form CS1)
+    minus_image ?? rp\sub\c (BPextS CS2 (full_subset (form CS2))) = BPextS CS1 (full_subset (form CS1))
  }.
 
-definition rp' : ∀CS1,CS2. convergent_relation_pair CS1 CS2 → relation_pair CS1 CS2 ≝
- λCS1,CS2,c. rp CS1 CS2 c.
- 
-coercion rp'.
-
 definition convergent_relation_space_setoid: concrete_space → concrete_space → setoid1.
  intros;
  constructor 1;
@@ -51,11 +44,6 @@ definition convergent_relation_space_setoid: concrete_space → concrete_space 
      | intros 3; apply trans1]]
 qed.
 
-definition rp'': ∀CS1,CS2.convergent_relation_space_setoid CS1 CS2 → arrows1 BP CS1 CS2 ≝
- λCS1,CS2,c.rp ?? c.
-
-coercion rp''.
-
 definition convergent_relation_space_composition:
  ∀o1,o2,o3: concrete_space.
   binary_morphism1
@@ -118,3 +106,4 @@ definition CSPA: category1.
     apply (.= id_neutral_left1 ????);
     apply refl1]
 qed.
+*)
\ No newline at end of file