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=333a402d309db4675a0ed5318d9d69052afa1310;hb=b2cdc4abd9ac87e39bc51b0d9c38daea179adbd5;hp=fc7a7d63169414eff37f19d3b16f65120fa68dab;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b;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 fc7a7d631..333a402d3 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
@@ -16,17 +16,19 @@ 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
+(**) (* to update *)
+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
-elim (teqx_cpx_trans … HT1 … HT0) -T #T #HT1 #HT0
-/4 width=5 by feqx_intro_dx, teqx_trans, ex2_intro/
+lapply (reqx_cpx_trans … HL12 … HT2) #H
+lapply (cpx_reqx_conf_dx … HT2 … HL12) -HT2 -HL12 #HL12
+lapply (teqx_cpx_trans … HT1 … H) -T #HT12
+/3 width=3 by feqx_intro_dx, ex2_intro/
 qed-.