matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqg.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                  *)
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  13 (**************************************************************************)
  14
  15 include "static_2/static/feqg.ma".
  16 include "basic_2/rt_computation/cpxs_reqg.ma".
  17
  18 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS *************)
  19
  20 (* Properties with generic equivalence for closures *************************)
  21
  22 (* to update *)
  23 lemma feqg_cpxs_trans (S):
  24       reflexive … S → symmetric … S →
  25       ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛[S] ❪G2,L2,T❫ →
  26       ∀T2. ❪G2,L2❫ ⊢ T ⬈* T2 →
  27       ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈* T0 & ❪G1,L1,T0❫ ≛[S] ❪G2,L2,T2❫.
  28 #S #H1S #H2S #G1 #G2 #L1 #L2 #T1 #T #H #T2 #H2T2
  29 elim (feqg_inv_gen_dx … H) -H // #H #HL12 #HT1 destruct
  30 lapply (reqg_cpxs_trans … H2T2 … HL12) // #H1T2
  31 lapply (cpxs_reqg_conf_dx … H2T2 … HL12) -HL12 // #HL12
  32 lapply (teqg_cpxs_trans … HT1 … H1T2) -T // #HT12
  33 /4 width=3 by feqg_intro_dx, teqg_refl, ex2_intro/
  34 qed-.