matita/matita/contribs/lambdadelta/basic_2A/computation/lprs_lprs.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   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                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2A/reduction/lpr_lpr.ma".
  16 include "basic_2A/computation/lprs.ma".
  17
  18 (* SN PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ****************************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma lprs_strip: ∀G. confluent2 … (lprs G) (lpr G).
  23 /3 width=3 by TC_strip1, lpr_conf/ qed-.
  24
  25 (* Main properties **********************************************************)
  26
  27 theorem lprs_conf: ∀G. confluent2 … (lprs G) (lprs G).
  28 /3 width=3 by TC_confluent2, lpr_conf/ qed-.
  29
  30 theorem lprs_trans: ∀G. Transitive … (lprs G).
  31 /2 width=3 by trans_TC/ qed-.