matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_ctc.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/rt_computation/cprs_ctc.ma".
  16 include "basic_2/rt_computation/lprs.ma".
  17
  18 (* PARALLEL R-COMPUTATION FOR FULL LOCAL ENVIRONMENTS ***********************)
  19
  20 (* Properties with contextual transitive closure ****************************)
  21
  22 lemma lprs_CTC (h) (G):
  23                ∀L1,L2. L1⪤[CTC … (λL. cpm h G L 0)] L2 → ⦃G,L1⦄⊢ ➡*[h] L2.
  24 /3 width=3 by cprs_CTC, lex_co/ qed.
  25
  26 (* Inversion lemmas with contextual transitive closure **********************)
  27
  28 lemma lprs_inv_CTC (h) (G):
  29                    ∀L1,L2. ⦃G,L1⦄⊢ ➡*[h] L2 → L1⪤[CTC … (λL. cpm h G L 0)] L2.
  30 /3 width=3 by cprs_inv_CTC, lex_co/ qed-.