matita/matita/contribs/lambdadelta/basic_2A/dynamic/lsubsv_scpds.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2A/static/lsubd_da.ma".
  16 include "basic_2A/dynamic/lsubsv_lsubd.ma".
  17 include "basic_2A/dynamic/lsubsv_lstas.ma".
  18
  19 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
  20
  21 (* Properties on decomposed extended parallel computation on terms **********)
  22
  23 lemma lsubsv_scpds_trans: ∀h,g,G,L2,T1,T2,d. ⦃G, L2⦄ ⊢ T1 •*➡*[h, g, d] T2 →
  24                           ∀L1. G ⊢ L1 ⫃¡[h, g] L2 →
  25                           ∃∃T. ⦃G, L1⦄ ⊢ T1 •*➡*[h, g, d] T & ⦃G, L1⦄ ⊢ T2 ➡* T.
  26 #h #g #G #L2 #T1 #T2 #d2 * #T #d1 #Hd21 #Hd1 #HT1 #HT2 #L1 #HL12
  27 lapply (lsubsv_cprs_trans … HL12 … HT2) -HT2 #HT2
  28 elim (lsubsv_lstas_trans … HT1 … Hd1 … HL12) // #T0 #HT10 #HT0
  29 lapply (cpcs_cprs_strap1 … HT0 … HT2) -T #HT02
  30 elim (cpcs_inv_cprs … HT02) -HT02
  31 /5 width=5 by lsubsv_fwd_lsubd, lsubd_da_trans, ex4_2_intro, ex2_intro/
  32 qed-.