matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpme_aaa.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 "basic_2/rt_computation/csx_aaa.ma".
  16 include "basic_2/rt_computation/cpms_aaa.ma".
  17 include "basic_2/rt_computation/cpre_csx.ma".
  18 include "basic_2/rt_computation/cpre_cpms.ma".
  19
  20 (* EVALUATION FOR T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ON TERMS *)
  21
  22 (* Properties with atomic atomic arity assignment on terms ******************)
  23
  24 lemma cpme_total_aaa (h) (n) (A) (G) (L):
  25       ∀T1. ⦃G,L⦄ ⊢ T1 ⁝ A → ∃T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄.
  26 #h #n #A #G #L #T1 #HT1
  27 elim (cpms_total_aaa h … n … HT1) #T0 #HT10
  28 elim (cpre_total_csx h G L T0)
  29 [ #T2 /3 width=4 by cpms_cpre_trans, ex_intro/
  30 | /4 width=4 by cpms_fwd_cpxs, aaa_csx, csx_cpxs_trans/
  31 ]
  32 qed-.