matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_lpxs.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_lpx.ma".
  16 include "basic_2/rt_computation/lpxs_lpx.ma".
  17
  18 (* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
  19
  20 (* Properties with unbound parallel rt-computation on all entries ***********)
  21
  22 lemma csx_lpxs_conf (h) (G) (L1):
  23       ∀L2,T. ❪G,L1❫ ⊢ ⬈*[h] L2 → ❪G,L1❫ ⊢ ⬈*𝐒[h] T → ❪G,L2❫ ⊢ ⬈*𝐒[h] T.
  24 #h #G #L1 #L2 #T #H @(lpxs_ind_dx … H) -L2
  25 /3 by lpxs_step_dx, csx_lpx_conf/
  26 qed-.