X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flpxs_feqx.ma;h=04f5a2b2904efbdd49e6185f4a91d5a6c8dc5fbe;hp=4c2a560db5c08690adffbfa5d7bee89e5800e278;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea 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 4c2a560db..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/