matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_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/cpxs_reqx.ma".
  17
  18 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS *************)
  19
  20 (* Properties with sort-irrelevant equivalence for closures *****************)
  21
  22 lemma feqx_cpxs_trans:
  23       ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
  24       ∀T2. ❪G2,L2❫ ⊢ T ⬈* T2 →
  25       ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈* T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
  26 #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
  27 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
  28 elim (reqx_cpxs_trans … HT2 … HL12) #T0 #HT0 #HT02
  29 lapply (cpxs_reqx_conf_dx … HT2 … HL12) -HL12 #HL12
  30 elim (teqx_cpxs_trans … HT1 … HT0) -T #T #HT1 #HT0
  31 /4 width=5 by feqx_intro_dx, teqx_trans, ex2_intro/
  32 qed-.