milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_feqx.ma

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 4c2a560db5c08690adffbfa5d7bee89e5800e278..04f5a2b2904efbdd49e6185f4a91d5a6c8dc5fbe 100644 (file)
--- 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/