X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpb_lfdeq.ma;h=c4489bccf7332242285f5f8d63dd295409932627;hb=b3afed9fd3cc38ecd4578f6b0741be50872a2828;hp=e37aa68f0cbcf33aeefde144b890f6ee1e825205;hpb=6d1c6a2cfdd1909647db5648b9cd059c61b19b40;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_lfdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_lfdeq.ma
index e37aa68f0..c4489bccf 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_lfdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_lfdeq.ma
@@ -22,15 +22,15 @@ include "basic_2/rt_transition/fpb.ma".
 (* Properties with degree-based equivalence for local environments **********)
 
 (* Basic_2A1: was just: lleq_fpb_trans *)
-lemma lfdeq_fpb_trans: ∀h,o,F,K1,K2,T. K1 ≡[h, o, T] K2 →
+lemma lfdeq_fpb_trans: ∀h,o,F,K1,K2,T. K1 ≛[h, o, T] K2 →
                        ∀G,L2,U. ⦃F, K2, T⦄ ≻[h, o] ⦃G, L2, U⦄ →
-                       ∃∃L1,U0. ⦃F, K1, T⦄ ≻[h, o] ⦃G, L1, U0⦄ & U0 ≡[h, o] U & L1 ≡[h, o, U] L2.
+                       ∃∃L1,U0. ⦃F, K1, T⦄ ≻[h, o] ⦃G, L1, U0⦄ & U0 ≛[h, o] U & L1 ≛[h, o, U] L2.
 #h #o #F #K1 #K2 #T #HT #G #L2 #U * -G -L2 -U
 [ #G #L2 #U #H2 elim (lfdeq_fqu_trans … H2 … HT) -K2
   /3 width=5 by fpb_fqu, ex3_2_intro/
 | #U #HTU #HnTU elim (lfdeq_cpx_trans … HT … HTU) -HTU
-  /5 width=10 by fpb_cpx, cpx_lfdeq_conf_sn, tdeq_trans, tdeq_lfdeq_conf_sn, ex3_2_intro/
+  /5 width=10 by fpb_cpx, cpx_lfdeq_conf_sn, tdeq_trans, tdeq_lfdeq_conf, ex3_2_intro/
 | #L2 #HKL2 #HnKL2 elim (lfdeq_lfpx_trans … HKL2 … HT) -HKL2
-  /6 width=5 by fpb_lfpx, lfdeq_canc_sn, ex3_2_intro/ (* 2 lleq_canc_sn *)
+  /6 width=5 by fpb_lfpx, (* 2x *) lfdeq_canc_sn, ex3_2_intro/
 ]
 qed-.