matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.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 (* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
  16
  17 include "basic_2/rt_transition/cnx.ma".
  18 include "basic_2/rt_computation/csx.ma".
  19
  20 (* Properties with normal terms for unbound parallel rt-transition **********)
  21
  22 (* Basic_1: was just: sn3_nf2 *)
  23 lemma cnx_csx: ∀h,G,L,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
  24 /2 width=1 by NF_to_SN/ qed.
  25
  26 (* Advanced properties ******************************************************)
  27
  28 lemma csx_sort: ∀h,G,L,s. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃⋆s⦄.
  29 /3 width=4 by cnx_csx, cnx_sort/ qed.