X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flfdeq_lfeq.ma;h=39d933b76b07213d357e154f2617b8a23be03c22;hb=5c186c72f508da0849058afeecc6877cd9ed6303;hp=5682e7218068f124656b32ee613b3a2468b769d1;hpb=268e7f336d036f77ffc9663358e9afda92b97730;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_lfeq.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_lfeq.ma
index 5682e7218..39d933b76 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_lfeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_lfeq.ma
@@ -12,12 +12,16 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/lfeq.ma".
+include "basic_2/static/lfeq_fsle.ma".
 include "basic_2/static/lfdeq.ma".
 
 (* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
 
 (* Properties with syntactic equivalence on referred entries ****************)
 
-lemma lfeq_lfdeq: ∀h,o,L1,L2,T. L1 ≐[T] L2 → L1 ≛[h, o, T] L2.
+lemma lfeq_lfdeq: ∀h,o,L1,L2. ∀T:term. L1 ≡[T] L2 → L1 ≛[h, o, T] L2.
 /2 width=3 by lfxs_co/ qed.
+
+lemma lfeq_lfdeq_trans: ∀h,o,L1,L. ∀T:term. L1 ≡[T] L →
+                        ∀L2. L ≛[h, o, T] L2 → L1 ≛[h, o, T] L2.
+/2 width=3 by lfeq_lfxs_trans/ qed-.