matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_tc.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                  *)
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  13 (**************************************************************************)
  14
  15 include "basic_2/relocation/lex_tc.ma".
  16 include "basic_2/rt_computation/lprs_ctc.ma".
  17 include "basic_2/rt_computation/cprs_lpr.ma".
  18
  19 (* PARALLEL R-COMPUTATION FOR FULL LOCAL ENVIRONMENTS ***********************)
  20
  21 (* Properties with transitive closure ***************************************)
  22
  23 lemma lprs_TC (h) (G):
  24               ∀L1,L2. TC … (lex (λL.cpm h G L 0)) L1 L2 → ⦃G, L1⦄⊢ ➡*[h] L2.
  25 /4 width=3 by lprs_CTC, lex_CTC, lpr_cprs_trans/ qed.
  26
  27 (* Inversion lemmas with transitive closure *********************************)
  28
  29 lemma lprs_inv_TC (h) (G):
  30                   ∀L1,L2. ⦃G, L1⦄⊢ ➡*[h] L2 → TC … (lex (λL.cpm h G L 0)) L1 L2.
  31 /3 width=3 by lprs_inv_CTC, lex_inv_CTC/ qed-.