matita/matita/contribs/lambdadelta/basic_2/computation/fpns_fpns.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 "basic_2/substitution/lleq_lleq.ma".
  16 include "basic_2/computation/lpxs_lpxs.ma".
  17 include "basic_2/computation/fpns.ma".
  18
  19 (* PARALLEL COMPUTATION FOR "BIG TREE" NORMAL FORMS *************************)
  20
  21 (* Main properties **********************************************************)
  22
  23 theorem fpns_trans: ∀h,g. tri_transitive … (fpns h g).
  24 #h #g #G1 #G #L1 #L #T1 #T * -G -L -T
  25 #L #HL1 #HT1 #G2 #L2 #T2 * -G2 -L2 -T2
  26 /3 width=3 by lpxs_trans, lleq_trans, fpns_intro/
  27 qed-.