The universe inconsistency comes from big union, that uses the existential.

diff --git a/helm/software/matita/contribs/formal_topology/overlap/subsets.ma b/helm/software/matita/contribs/formal_topology/overlap/subsets.ma
index 5803e6906cf1afeb711ca78cd5ead5ae5bd37a69..4bbe7fdbebd35ce17de26a3bbc5ef5f672503477 100644 (file)
--- a/helm/software/matita/contribs/formal_topology/overlap/subsets.ma
+++ b/helm/software/matita/contribs/formal_topology/overlap/subsets.ma
@@ -153,10 +153,10 @@ definition big_intersects:
      | apply (. (#‡(e i)\sup -1)); apply f]]
 qed.
 
-definition big_union:
+axiom (*definition*) big_union:
  ∀A:SET.∀I:SET.unary_morphism2 (setoid1_of_setoid I ⇒ Ω \sup A) (setoid2_of_setoid1 (Ω \sup A)).
- intros; constructor 1;
-  [ intro; whd; whd in I;
+(* intros; constructor 1;
+  [ intro; whd; whd in A; whd in I;
     apply ({x | ∃i:I. x ∈ t i});
     simplify; intros; split; intros; cases H; clear H; exists; [1,3:apply w]
     [ apply (. (e‡#)); | apply (. (e \sup -1‡#)); ]
@@ -164,14 +164,14 @@ definition big_union:
   | intros; split; intros 2; simplify in f ⊢ %; cases f; clear f; exists; [1,3:apply w]
      [ apply (. (#‡(e w))); apply x;
      | apply (. (#‡(e w)\sup -1)); apply x]]
-qed.
+qed.*)
 
 (* incluso prima non funziona piu' nulla *)
 include "o-algebra.ma".
 
 
 axiom daemon: False.
-definition SUBSETS: SET → OAlgebra.
+definition SUBSETS: objs1 SET → OAlgebra.
  intro A; constructor 1;
   [ apply (Ω \sup A);
   | apply subseteq;
@@ -187,17 +187,18 @@ definition SUBSETS: SET → OAlgebra.
   | intros; apply transitive_subseteq_operator; [2: apply f; | skip | assumption]
   | intros; cases f; exists [apply w] assumption
   | intros; intros 2; apply (f ? f1 i);
-  | intros; intros 2; apply f; exists; [apply i] assumption;
+  |(* intros; intros 2; apply f; exists; [apply i] assumption;*)
   | intros 3; cases f;
   | intros 3; constructor 1;
   | intros; cases f; exists; [apply w]
      [ assumption
      | whd; intros; cases i; simplify; assumption]
-  | intros; split; intro;
+  |(* intros; split; intro;
      [ cases f; cases x1; exists [apply w1] exists [apply w] assumption;
-     | cases H; cases x; exists; [apply w1] [assumption | exists; [apply w] assumption]]
+     | cases H; cases x; exists; [apply w1] [assumption | exists; [apply w] assumption]]*)
   | intros; intros 2; cases (H (singleton ? a) ?);
      [ exists; [apply a] [assumption | change with (a = a); apply refl1;]
      | change in x1 with (a = w); change with (mem A a q); apply (. (x1 \sup -1‡#));
        assumption]]
+cases daemon;
 qed.
\ No newline at end of file