X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FPREDICATIVE-TOPOLOGY%2Fclass_eq.ma;fp=helm%2Fsoftware%2Fmatita%2Fcontribs%2FPREDICATIVE-TOPOLOGY%2Fclass_eq.ma;h=7634cbde1171f65fa92d126eea1c8a872fc2f971;hb=cf24ec700cf0516891432b6a63638a2c966474af;hp=cfcb57293f6a066eced2e45621d9387398db64b9;hpb=28e4648362227bf701b19b01a23163f9480c62bd;p=helm.git

diff --git a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma b/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma
index cfcb57293..7634cbde1 100644
--- a/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma
+++ b/helm/software/matita/contribs/PREDICATIVE-TOPOLOGY/class_eq.ma
@@ -14,25 +14,17 @@
 
 set "baseuri" "cic:/matita/PREDICATIVE-TOPOLOGY/class_eq".
 
-include "class_le.ma".
+include "class_defs.ma".
 
-theorem ceq_cl: \forall C,c1,c2. ceq ? c1 c2 \to cin C c1 \land cin C c2.
-intros; elim H; clear H.
-lapply cle_cl to H1 using H; clear H1; decompose H;
-lapply cle_cl to H2 using H; clear H2; decompose H.
-auto.
-qed.
-
-theorem ceq_refl: \forall C,c. cin C c \to ceq ? c c.
-intros; apply ceq_intro; auto.
-qed.
+theorem ceq_trans: \forall C. \xforall c1,c2. ceq C c1 c2 \to 
+                   \xforall c3. ceq ? c2 c3 \to ceq ? c1 c3.
+intros.
 
-theorem ceq_trans: \forall C,c2,c1,c3.
-                   ceq C c2 c3 \to ceq ? c1 c2 \to ceq ? c1 c3.
-intros; elim H; elim H1; clear H; clear H1.
+(*
 apply ceq_intro; apply cle_trans; [|auto|auto||auto|auto].
 qed.
 
 theorem ceq_sym: \forall C,c1,c2. ceq C c1 c2 \to ceq C c2 c1.
 intros; elim H; clear H.; auto.
 qed.
+*)
\ No newline at end of file