X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fi_static%2Ftc_lfxs_lex.ma;h=cb32e58b0703ebe2801c132203dbfa8e07c58810;hb=268e7f336d036f77ffc9663358e9afda92b97730;hp=73ddeb26f20a776db44b5994a4ebd63fd27abbab;hpb=9323611e3819c1382b872a7ada00264991f36217;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_lex.ma b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_lex.ma
index 73ddeb26f..cb32e58b0 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_lex.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs_lex.ma
@@ -14,7 +14,7 @@
 
 include "basic_2/relocation/lex_tc.ma".
 include "basic_2/static/lfeq_fqup.ma".
-include "basic_2/static/lfeq_lfeq.ma".
+include "basic_2/static/lfeq_fsle.ma".
 include "basic_2/i_static/tc_lfxs_fqup.ma".
 
 (* ITERATED EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ***)
@@ -28,7 +28,7 @@ lemma tc_lfxs_lex: ∀R. c_reflexive … R →
 qed.
 
 lemma tc_lfxs_lex_lfeq: ∀R. c_reflexive … R →
-                        ∀L1,L. L1 ⪤[LTC … R] L → ∀L2,T. L ≡[T] L2 →
+                        ∀L1,L. L1 ⪤[LTC … R] L → ∀L2,T. L ≐[T] L2 →
                         L1 ⪤**[R, T] L2.
 /3 width=3 by tc_lfxs_lex, tc_lfxs_step_dx, lfeq_fwd_lfxs/ qed.
 
@@ -36,11 +36,11 @@ lemma tc_lfxs_lex_lfeq: ∀R. c_reflexive … R →
 
 (* Note: s_rs_transitive_lex_inv_isid could be invoked in the last auto but makes it too slow *)
 lemma tc_lfxs_inv_lex_lfeq: ∀R. c_reflexive … R →
-                            lfxs_fle_compatible R →
+                            lfxs_fsge_compatible R →
                             s_rs_transitive … R (λ_.lex R) →
                             lfeq_transitive R →
                             ∀L1,L2,T. L1 ⪤**[R, T] L2 →
-                            ∃∃L. L1 ⪤[LTC … R] L & L ≡[T] L2.
+                            ∃∃L. L1 ⪤[LTC … R] L & L ≐[T] L2.
 #R #H1R #H2R #H3R #H4R #L1 #L2 #T #H
 lapply (s_rs_transitive_lex_inv_isid … H3R) -H3R #H3R
 @(tc_lfxs_ind_sn … H1R … H) -H -L2