matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_fpbs.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/computation/fpbs_lift.ma".
  16
  17 (* "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *****************************)
  18
  19 (* Main properties **********************************************************)
  20
  21 theorem fpbs_trans: ∀h,g. tri_transitive … (fpbs h g).
  22 /2 width=5 by tri_TC_transitive/ qed-.
  23
  24 (* Advanced properties ******************************************************)
  25
  26 lemma cpr_lpr_ssta_fpbs: ∀h,g,G,L1,L2,T1,T2,U2,l2.
  27                          ⦃G, L1⦄ ⊢ T1 ➡ T2 → ⦃G, L1⦄ ⊢ ➡ L2 →
  28                          ⦃G, L2⦄ ⊢ T2 ▪[h, g] l2+1 → ⦃G, L2⦄ ⊢ T2 •[h, g] U2 →
  29                          ⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, U2⦄.
  30 /3 width=5 by fpbs_trans, cpr_lpr_fpbs, ssta_fpbs/ qed.