X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_feqx.ma;h=882543af4eb8dbf24b65ac7a3b233a5118d26bc6;hp=abbddfab7a31a7dafb901af68da5816325df1f0e;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea 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 abbddfab7..882543af4 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma @@ -15,14 +15,15 @@ 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 +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 #HT2 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