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=e38f9f796fcf236ed370ae53c6593127be0d261b;hb=f7296f9cf2ee73465a374942c46b138f35c42ccb;hp=45bf6a4729734322a04dccb68971ff94977ed884;hpb=c44a7c4d35c1bb9651c3596519d8262e52e90ff4;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 45bf6a472..e38f9f796 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 ***)
@@ -36,7 +36,7 @@ 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 →
-                            lexs_frees_confluent (cext2 R) cfull →
+                            lfxs_fsge_compatible R →
                             s_rs_transitive … R (λ_.lex R) →
                             lfeq_transitive R →
                             ∀L1,L2,T. L1 ⪤**[R, T] L2 →
@@ -50,7 +50,7 @@ lapply (s_rs_transitive_lex_inv_isid … H3R) -H3R #H3R
   elim (lexs_sdj_split … ceq_ext … HL2 f0 ?) -HL2
   [ #L0 #HL0 #HL02 |*: /2 width=1 by ext2_refl, sdj_isid_dx/ ]
   lapply (lexs_sdj … HL0 f1 ?) /2 width=1 by sdj_isid_sn/ #H
-  elim (H2R … Hf1 … H) -H #f2 #Hf2 #Hf21
+  elim (frees_lexs_conf … Hf1 … H) // -H2R -H #f2 #Hf2 #Hf21
   lapply (sle_lexs_trans … HL02 … Hf21) -f1 // #HL02
   lapply (lexs_co ?? cfull (LTC … (cext2 R)) … HL1) -HL1 /2 width=1 by ext2_inv_tc/ #HL1
   /8 width=11 by lexs_inv_tc_dx, lexs_tc_dx, lexs_co, ext2_tc, ext2_refl, step, ex2_intro/ (**) (* full auto too slow *)