X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flfdeq_fqup.ma;h=c39dd5bbc77b5d01b02b525544a3eb2473d0c038;hb=5c186c72f508da0849058afeecc6877cd9ed6303;hp=30bef569bf128ca83f4d5d3528ac255e41f722d5;hpb=98fbba1b68d457807c73ebf70eb2a48696381da4;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma
index 30bef569b..c39dd5bbc 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma
@@ -19,22 +19,21 @@ include "basic_2/static/lfdeq.ma".
 
 (* Advanced properties ******************************************************)
 
-(* Basic_2A1: uses: lleq_refl *)
 lemma lfdeq_refl: ∀h,o,T. reflexive … (lfdeq h o T).
 /2 width=1 by lfxs_refl/ qed.
 
-lemma lfdeq_pair: ∀h,o,V1,V2. V1 ≡[h, o] V2 →
-                  ∀I,L. ∀T:term. L.ⓑ{I}V1 ≡[h, o, T] L.ⓑ{I}V2.
-/2 width=1 by lfxs_pair/ qed.
+lemma lfdeq_pair_refl: ∀h,o,V1,V2. V1 ≛[h, o] V2 →
+                       ∀I,L. ∀T:term. L.ⓑ{I}V1 ≛[h, o, T] L.ⓑ{I}V2.
+/2 width=1 by lfxs_pair_refl/ qed.
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma lfdeq_inv_bind_void: ∀h,o,p,I,L1,L2,V,T. L1 ≡[h, o, ⓑ{p,I}V.T] L2 →
-                           L1 ≡[h, o, V] L2 ∧ L1.ⓧ ≡[h, o, T] L2.ⓧ.
+lemma lfdeq_inv_bind_void: ∀h,o,p,I,L1,L2,V,T. L1 ≛[h, o, ⓑ{p,I}V.T] L2 →
+                           L1 ≛[h, o, V] L2 ∧ L1.ⓧ ≛[h, o, T] L2.ⓧ.
 /2 width=3 by lfxs_inv_bind_void/ qed-.
 
 (* Advanced forward lemmas **************************************************)
 
 lemma lfdeq_fwd_bind_dx_void: ∀h,o,p,I,L1,L2,V,T.
-                              L1 ≡[h, o, ⓑ{p,I}V.T] L2 → L1.ⓧ ≡[h, o, T] L2.ⓧ.
+                              L1 ≛[h, o, ⓑ{p,I}V.T] L2 → L1.ⓧ ≛[h, o, T] L2.ⓧ.
 /2 width=4 by lfxs_fwd_bind_dx_void/ qed-.