X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubsv_scpds.ma;h=cac43d361822a088fd994ab930c3793966abab6e;hp=3edc47f41397ebd41ce2cd3805fc123fe8be1c82;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hpb=5902d6da146ca78b0ed5d062e3968f52868147c5 diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma index 3edc47f41..cac43d361 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_scpds.ma @@ -12,18 +12,20 @@ (* *) (**************************************************************************) +include "static_2/static/lsubd_da.ma". +include "basic_2/dynamic/lsubsv_lsubd.ma". include "basic_2/dynamic/lsubsv_lstas.ma". (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************) (* Properties on decomposed extended parallel computation on terms **********) -lemma lsubsv_scpds_trans: ∀h,g,G,L2,T1,T2,l. ⦃G, L2⦄ ⊢ T1 •*➡*[h, g, l] T2 → - ∀L1. G ⊢ L1 ⫃¡[h, g] L2 → - ∃∃T. ⦃G, L1⦄ ⊢ T1 •*➡*[h, g, l] T & ⦃G, L1⦄ ⊢ T2 ➡* T. -#h #g #G #L2 #T1 #T2 #l2 * #T #l1 #Hl21 #Hl1 #HT1 #HT2 #L1 #HL12 +lemma lsubsv_scpds_trans: ∀h,o,G,L2,T1,T2,d. ⦃G, L2⦄ ⊢ T1 •*➡*[h, o, d] T2 → + ∀L1. G ⊢ L1 ⫃¡[h, o] L2 → + ∃∃T. ⦃G, L1⦄ ⊢ T1 •*➡*[h, o, d] T & ⦃G, L1⦄ ⊢ T2 ➡* T. +#h #o #G #L2 #T1 #T2 #d2 * #T #d1 #Hd21 #Hd1 #HT1 #HT2 #L1 #HL12 lapply (lsubsv_cprs_trans … HL12 … HT2) -HT2 #HT2 -elim (lsubsv_lstas_trans … HT1 … Hl1 … HL12) // #T0 #HT10 #HT0 +elim (lsubsv_lstas_trans … HT1 … Hd1 … HL12) // #T0 #HT10 #HT0 lapply (cpcs_cprs_strap1 … HT0 … HT2) -T #HT02 elim (cpcs_inv_cprs … HT02) -HT02 /5 width=5 by lsubsv_fwd_lsubd, lsubd_da_trans, ex4_2_intro, ex2_intro/