matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ltprs_ltprs.etc

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "basic_2/reducibility/ltpr_ltpr.ma".
  16 include "basic_2/computation/ltprs.ma".
  17
  18 (* CONTEXT-FREE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ******************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma ltprs_strip: ∀L1. ∀L:lenv. L ➡* L1 → ∀L2. L ➡ L2 →
  23                    ∃∃L0. L1 ➡ L0 & L2 ➡* L0.
  24 /3 width=3/ qed.
  25
  26 (* Main properties **********************************************************)
  27
  28 theorem ltprs_conf: confluent … ltprs.
  29 /3 width=3/ qed.
  30
  31 theorem ltprs_trans: Transitive … ltprs.
  32 /2 width=3/ qed.