update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma
index 23709c96393c8286f5ee3e05a477a70541bad296..8017c74cedcf7328154bdf0adb25fde5c297a696 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma
@@ -15,17 +15,19 @@
 include "static_2/static/feqx.ma".
 include "basic_2/rt_computation/cpxs_reqx.ma".
 
-(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS *************)
 
 (* Properties with sort-irrelevant equivalence for closures *****************)
 
-lemma feqx_cpxs_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 be updated *)
+lemma feqx_cpxs_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 #H2T2
 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
-elim (reqx_cpxs_trans … HT2 … HL12) #T0 #HT0 #HT02
-lapply (cpxs_reqx_conf_dx … HT2 … HL12) -HL12 #HL12
-elim (teqx_cpxs_trans … HT1 … HT0) -T #T #HT1 #HT0
-/4 width=5 by feqx_intro_dx, teqx_trans, ex2_intro/
+lapply (reqx_cpxs_trans … H2T2 … HL12) #H1T2
+lapply (cpxs_reqx_conf_dx … H2T2 … HL12) -HL12 #HL12
+lapply (teqx_cpxs_trans … HT1 … H1T2) -T #HT12
+/3 width=3 by feqx_intro_dx, ex2_intro/
 qed-.