X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flpx_reqx.ma;h=73f134d10014a59627116e09309c095791cb00e2;hb=b2cdc4abd9ac87e39bc51b0d9c38daea179adbd5;hp=36c97f983e3f83cf90b27fd4616a87c5a4702f68;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqx.ma
index 36c97f983..73f134d10 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_reqx.ma
@@ -16,17 +16,18 @@ include "static_2/static/reqx_req.ma".
 include "basic_2/rt_transition/rpx_reqx.ma".
 include "basic_2/rt_transition/rpx_lpx.ma".
 
-(* UNBOUND PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS ***************)
+(* EXTENDED PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS **************)
 
 (* Properties with sort-irrelevant equivalence for local environments *******)
 
+(**) (* to update as reqx_rpx_trans *)
 (* Basic_2A1: uses: lleq_lpx_trans *)
-lemma reqx_lpx_trans (h) (G): ∀L2,K2. ❪G,L2❫ ⊢ ⬈[h] K2 →
-                              ∀L1. ∀T:term. L1 ≛[T] L2 →
-                              ∃∃K1. ❪G,L1❫ ⊢ ⬈[h] K1 & K1 ≛[T] K2.
-#h #G #L2 #K2 #HLK2 #L1 #T #HL12
+lemma reqx_lpx_trans (G):
+      ∀L2,K2. ❪G,L2❫ ⊢ ⬈ K2 → ∀L1. ∀T:term. L1 ≛[T] L2 →
+      ∃∃K1. ❪G,L1❫ ⊢ ⬈ K1 & K1 ≛[T] K2.
+#G #L2 #K2 #HLK2 #L1 #T #HL12
 lapply (lpx_rpx … T HLK2) -HLK2 #HLK2
-elim (reqx_rpx_trans … HLK2 … HL12) -L2 #K #H #HK2
-elim (rpx_inv_lpx_req … H) -H #K1 #HLK1 #HK1
-/3 width=5 by req_reqx_trans, ex2_intro/
+lapply (reqx_rpx_trans … HL12 … HLK2) -L2 #H
+elim (rpx_inv_lpx_req … H) -H #K1 #HLK1 #HK12
+/3 width=3 by req_reqx, ex2_intro/
 qed-.