X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Flibrary%2Fequality.ma;h=90ce050e34e1fbb2db42df1c946439b61ede3f93;hb=12cc5b2b8e7f7bb0b5e315094b008a293a4df6b1;hp=cf513734aa07f7e40e6fa35604e2f01c8c84bf8b;hpb=0bf30da6d3f539145bac0213887789f87bc8cc6a;p=helm.git

diff --git a/helm/matita/library/equality.ma b/helm/matita/library/equality.ma
index cf513734a..90ce050e3 100644
--- a/helm/matita/library/equality.ma
+++ b/helm/matita/library/equality.ma
@@ -35,11 +35,18 @@ qed.
 
 theorem f_equal: \forall  A,B:Type.\forall f:A\to B.
 \forall x,y:A. eq A x y \to eq B (f x) (f y).
-intros.elim H.apply refl_equal.
+intros.elim H.reflexivity.
 qed.
 
+default "equality"
+ cic:/matita/equality/eq.ind
+ cic:/matita/equality/sym_eq.con
+ cic:/matita/equality/trans_eq.con
+ cic:/matita/equality/eq_ind.con
+ cic:/matita/equality/eq_ind_r.con. 
+
 theorem f_equal2: \forall  A,B,C:Type.\forall f:A\to B \to C.
 \forall x1,x2:A. \forall y1,y2:B.
 eq A x1 x2\to eq B y1 y2\to eq C (f x1 y1) (f x2 y2).
-intros.elim H1.elim H.apply refl_equal.
+intros.elim H1.elim H.reflexivity.
 qed.