matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_lpx.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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/relocation/lex_tc.ma".
  16 include "basic_2/rt_computation/lpxs.ma".
  17 include "basic_2/rt_computation/cpxs_lpx.ma".
  18
  19 (* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENVIRONMENTS *****************)
  20
  21 (* Properties with uncounted rt-transition for local environments ***********)
  22
  23 (* Basic_2A1: was: lpxs_strap1 *)
  24 lemma lpxs_step_dx: ∀h,G,L1,L. ⦃G, L1⦄ ⊢ ⬈*[h] L →
  25                     ∀L2. ⦃G, L⦄ ⊢ ⬈[h] L2 → ⦃G, L1⦄ ⊢ ⬈*[h] L2.
  26 /3 width=3 by lpx_cpxs_trans, lex_ltc_step_dx/ qed-.
  27
  28 (* Basic_2A1: was: lpxs_strap2 *)
  29 lemma lpxs_step_sn: ∀h,G,L1,L. ⦃G, L1⦄ ⊢ ⬈[h] L →
  30                     ∀L2. ⦃G, L⦄ ⊢ ⬈*[h] L2 → ⦃G, L1⦄ ⊢ ⬈*[h] L2.
  31 /3 width=3 by lpx_cpxs_trans, lex_ltc_step_sn/ qed-.