the new coercion behaviour (variants + composition with ID) and the new

[helm.git] / helm / software / matita / contribs / formal_topology / overlap / concrete_spaces.ma

diff --git a/helm/software/matita/contribs/formal_topology/overlap/concrete_spaces.ma b/helm/software/matita/contribs/formal_topology/overlap/concrete_spaces.ma
index 5ce337c6f831cd900544fd7be49ebbdf36ac712c..07a067e73f5c62419d11a52eb529f4f9bd0b1af0 100644 (file)
--- a/helm/software/matita/contribs/formal_topology/overlap/concrete_spaces.ma
+++ b/helm/software/matita/contribs/formal_topology/overlap/concrete_spaces.ma
@@ -21,12 +21,6 @@ record concrete_space : Type1 ≝
    all_covered: ∀x: concr bp. x ⊩ full_subset (form bp)
  }.
 
-definition bp': concrete_space → basic_pair ≝ λc.bp c.
-coercion bp'.
-
-definition bp'': concrete_space → objs1 BP ≝ λc.bp c.
-coercion bp''.
-
 record convergent_relation_pair (CS1,CS2: concrete_space) : Type1 ≝
  { rp:> arrows1 ? CS1 CS2;
    respects_converges:
@@ -37,11 +31,6 @@ record convergent_relation_pair (CS1,CS2: concrete_space) : Type1 ≝
     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;
@@ -54,11 +43,6 @@ 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