update in basic_2 and ground_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / i_static / tc_lfxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs.ma b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs.ma
index 8e3bf8a4d32973c5308eccccb30b6c95d528cab8..5fbe3afe2a6ec8e13cc2867d052a77c1d20eafa5 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/i_static/tc_lfxs.ma
@@ -18,7 +18,7 @@ include "basic_2/static/lfxs.ma".
 
 (* ITERATED EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ***)
 
-definition tc_lfxs (R): term → relation lenv ≝ LTC … (lfxs R).
+definition tc_lfxs (R): term → relation lenv ≝ CTC … (lfxs R).
 
 interpretation "iterated extension on referred entries (local environment)"
    'RelationStarStar R T L1 L2 = (tc_lfxs R T L1 L2).
@@ -67,13 +67,6 @@ lemma tc_lfxs_gref: ∀R,I,L1,L2,V1,V2,l.
 /3 width=4 by lfxs_gref, tc_lfxs_step_dx, inj/
 qed.
 
-lemma tc_lfxs_sym: ∀R. lexs_frees_confluent (cext2 R) cfull →
-                   (∀L1,L2,T1,T2. R L1 T1 T2 → R L2 T2 T1) →
-                   ∀T. symmetric … (tc_lfxs R T).
-#R #H1R #H2R #T #L1 #L2 #H elim H -L2
-/4 width=3 by lfxs_sym, tc_lfxs_step_sn, inj/
-qed-.
-
 lemma tc_lfxs_co: ∀R1,R2. (∀L,T1,T2. R1 L T1 T2 → R2 L T1 T2) →
                   ∀L1,L2,T. L1 ⪤**[R1, T] L2 → L1 ⪤**[R2, T] L2.
 #R1 #R2 #HR #L1 #L2 #T #H elim H -L2