matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lpx.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/static/lfxs_lex.ma".
  16 include "basic_2/rt_transition/lfpx_fsle.ma".
  17 include "basic_2/rt_transition/lpx.ma".
  18
  19 (* UNCOUNTED PARALLEL RT-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES *****)
  20
  21 (* Properties with uncounted parallel rt-transition for local environments **)
  22
  23 lemma lfpx_lpx: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
  24 /2 width=1 by lfxs_lex/ qed.
  25
  26 (* Inversion lemmas with uncounted parallel rt-transition for local envs ****)
  27
  28 lemma lfpx_inv_lpx_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 →
  29                          ∃∃L. ⦃G, L1⦄ ⊢ ⬈[h] L & L ≐[T] L2.
  30 /3 width=3 by lfpx_fsge_comp, lfxs_inv_lex_lfeq/ qed-.