matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_feqg.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/feqg.ma".
  16 include "basic_2/rt_computation/csx_reqg.ma".
  17
  18 (* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
  19
  20 (* Properties with generic equivalence for closures *************************)
  21
  22 lemma csx_feqg_conf (S):
  23       reflexive … S → symmetric … S →
  24       ∀G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*𝐒 T1 →
  25       ∀G2,L2,T2. ❪G1,L1,T1❫ ≛[S] ❪G2,L2,T2❫ → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
  26 #S #H1S #H2S #G1 #L1 #T1 #HT1 #G2 #L2 #T2 * -G2 -L2 -T2
  27 /3 width=6 by csx_reqg_conf, csx_teqg_trans/
  28 qed-.