X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flpxs_feqx.ma;h=04f5a2b2904efbdd49e6185f4a91d5a6c8dc5fbe;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=e6fc7f0bb706d3fa2ce3c329ab0579daa9a812e1;hpb=adb9ba187619cea977d1d22971eba27eb437cd6a;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma
index e6fc7f0bb..04f5a2b29 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma
@@ -15,14 +15,15 @@
 include "static_2/static/feqx.ma".
 include "basic_2/rt_computation/lpxs_reqx.ma".
 
-(* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
+(* EXTENDED PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
 
 (* Properties with sort-irrelevant equivalence on closures ******************)
 
-lemma feqx_lpxs_trans (h): ∀G1,G2,L1,L0,T1,T2. ⦃G1,L1,T1⦄ ≛ ⦃G2,L0,T2⦄ →
-                           ∀L2. ⦃G2,L0⦄ ⊢⬈*[h] L2 →
-                           ∃∃L. ⦃G1,L1⦄ ⊢⬈*[h] L & ⦃G1,L,T1⦄ ≛ ⦃G2,L2,T2⦄.
-#h #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
+lemma feqx_lpxs_trans:
+      ∀G1,G2,L1,L0,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L0,T2❫ →
+      ∀L2. ❪G2,L0❫ ⊢⬈* L2 →
+      ∃∃L. ❪G1,L1❫ ⊢⬈* L & ❪G1,L,T1❫ ≛ ❪G2,L2,T2❫.
+#G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
 elim (feqx_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
 elim (reqx_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
 /3 width=3 by feqx_intro_dx, ex2_intro/