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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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 "basic_2/rt_transition/cpm_cpx.ma".
  16 include "basic_2/rt_computation/cpxs.ma".
  17 include "basic_2/rt_computation/cpms.ma".
  18
  19 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
  20
  21 (* Forward lemmas with unbound context-sensitive rt-computation for terms ***)
  22
  23 (* Basic_2A1: includes: scpds_fwd_cpxs cprs_cpxs *)
  24 lemma cpms_fwd_cpxs (n) (h): ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ➡*[n,h] T2 → ❪G,L❫ ⊢ T1 ⬈*[h] T2.
  25 #n #h #G #L #T1 #T2 #H @(cpms_ind_dx … H) -T2
  26 /3 width=4 by cpxs_strap1, cpm_fwd_cpx/
  27 qed-.