matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_ctc.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 "ground/lib/ltc_ctc.ma".
  16 include "basic_2/rt_computation/cpms.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL R-COMPUTATION FOR TERMS ***********************)
  19
  20 (* Properties with contextual transitive closure ****************************)
  21
  22 lemma cprs_CTC (h) (G) (L): CTC … (λL. cpm h G L 0) L ⊆ cpms h G L 0.
  23 /2 width=1 by ltc_CTC/ qed.
  24
  25 (* Inversion lemmas with contextual transitive closure **********************)
  26
  27 lemma cprs_inv_CTC (h) (G) (L): cpms h G L 0 ⊆ CTC … (λL. cpm h G L 0) L.
  28 #h #G @ltc_inv_CTC //
  29 (**) (* this shoould be just @plus_inv_O3 *)
  30 #x1 #x2 #Hx12 elim (plus_inv_O3 x1 x2) /2 width=1 by conj/
  31 qed-.