matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_rdeq.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       *)
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  13 (**************************************************************************)
  14
  15 include "basic_2/rt_computation/cpxs_rdeq.ma".
  16 include "basic_2/rt_computation/cpms_cpxs.ma".
  17
  18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
  19
  20 (* Properties with sort-irrelevant equivalence for local environments *******)
  21
  22 lemma cpms_rdeq_conf_sn (h) (n) (G) (L1) (L2):
  23                         ∀T1,T2. ⦃G,L1⦄ ⊢ T1 ➡*[n,h] T2 →
  24                         L1 ≛[T1] L2 → L1 ≛[T2] L2.
  25 /3 width=5 by cpms_fwd_cpxs, cpxs_rdeq_conf_sn/ qed-.
  26
  27 lemma cpms_rdeq_conf_dx (h) (n) (G) (L1) (L2):
  28                         ∀T1,T2. ⦃G,L2⦄ ⊢ T1 ➡*[n,h] T2 →
  29                         L1 ≛[T1] L2 → L1 ≛[T2] L2.
  30 /3 width=5 by cpms_fwd_cpxs, cpxs_rdeq_conf_dx/ qed-.