X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpx_feqx.ma;h=a0ec5d8f8eff632034d892359dabe805cba68139;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=3d19c0bc9a2fb6fe6ef88d3ff9cd9efcc96dd01f;hpb=adb9ba187619cea977d1d22971eba27eb437cd6a;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma
index 3d19c0bc9..a0ec5d8f8 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma
@@ -16,14 +16,15 @@ include "static_2/static/feqx.ma".
 include "basic_2/rt_transition/cpx_reqx.ma".
 include "basic_2/rt_transition/rpx_reqx.ma".
 
-(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
 
 (* Properties with sort-irrelevant equivalence for closures *****************)
 
-lemma feqx_cpx_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T⦄ →
-                      ∀T2. ⦃G2,L2⦄ ⊢ T ⬈[h] T2 →
-                      ∃∃T0. ⦃G1,L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1,L1,T0⦄ ≛ ⦃G2,L2,T2⦄.
-#h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
+lemma feqx_cpx_trans:
+      ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
+      ∀T2. ❪G2,L2❫ ⊢ T ⬈ T2 →
+      ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈ T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
+#G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
 elim (reqx_cpx_trans … HL12 … HT2) #T0 #HT0 #HT02
 lapply (cpx_reqx_conf_dx … HT2 … HL12) -HL12 #HL12