matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqx.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "static_2/static/feqx.ma".
  16 include "basic_2/rt_computation/lpxs_reqx.ma".
  17
  18 (* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
  19
  20 (* Properties with sort-irrelevant equivalence on closures ******************)
  21
  22 lemma feqx_lpxs_trans (h): ∀G1,G2,L1,L0,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L0,T2❫ →
  23                            ∀L2. ❪G2,L0❫ ⊢⬈*[h] L2 →
  24                            ∃∃L. ❪G1,L1❫ ⊢⬈*[h] L & ❪G1,L,T1❫ ≛ ❪G2,L2,T2❫.
  25 #h #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
  26 elim (feqx_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
  27 elim (reqx_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
  28 /3 width=3 by feqx_intro_dx, ex2_intro/
  29 qed-.