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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
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   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 include "basic_2/i_static/tc_lfxs_lex.ma".
  16 include "basic_2/rt_transition/lfpx_frees.ma".
  17 include "basic_2/rt_computation/lpxs.ma".
  18 include "basic_2/rt_computation/lfpxs.ma".
  19
  20 (* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ****)
  21
  22 (* Properties with uncounted parallel rt-computation for local environments *)
  23
  24 lemma lfpxs_lpxs_lfeq: ∀h,G,L1,L. ⦃G, L1⦄ ⊢ ⬈*[h] L →
  25                        ∀L2,T. L ≡[T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
  26 /2 width=3 by tc_lfxs_lex_lfeq/ qed.
  27
  28 (* Inversion lemmas with uncounted parallel rt-computation for local envs ***)
  29
  30 lemma lpx_cpxs_ext_trans: ∀h,G. s_rs_transitive_isid cfull (cpx_ext h G).
  31 #H1 #H2 #H3 #H4 #H5 #H6 #H7 #H8 #H9 #H10
  32
  33
  34 lemma tc_lfxs_inv_lex_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 →
  35                             ∃∃L. ⦃G, L1⦄ ⊢ ⬈*[h] L & L ≡[T] L2.
  36 #h #G @tc_lfxs_inv_lex_lfeq //
  37 [ @lfpx_frees_conf
  38 | @lpx_cpxs_ext_trans