matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_gcr.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/gcp_cr.ma".
  16 include "basic_2/rt_computation/csx_cnx_vector.ma".
  17 include "basic_2/rt_computation/csx_csx_vector.ma".
  18
  19 (* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
  20
  21 (* Main properties with generic candidates of reducibility ******************)
  22
  23 theorem csx_gcr: ∀h,o. gcr (cpx h) (tdeq h o) (csx h o) (csx h o).
  24 #h #o @mk_gcr //
  25 [ /3 width=1 by csx_applv_cnx/
  26 |2,3,6: /2 width=1 by csx_applv_beta, csx_applv_sort, csx_applv_cast/
  27 | /2 width=7 by csx_applv_delta/
  28 | #G #L #V1b #V2b #HV12b #a #V #T #H #HV
  29   @(csx_applv_theta … HV12b) -HV12b
  30   @csx_abbr //
  31 ]
  32 qed.