matita/matita/contribs/lambdadelta/basic_2/reduction/lpr_ldrop.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/relocation/ldrop_lpx_sn.ma".
  16 include "basic_2/reduction/cpr_lift.ma".
  17 include "basic_2/reduction/lpr.ma".
  18
  19 (* SN PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS *****************************)
  20
  21 (* Properies on local environment slicing ***********************************)
  22
  23 (* Basic_1: includes: wcpr0_drop *)
  24 lemma lpr_ldrop_conf: dropable_sn lpr.
  25 /3 width=5 by lpx_sn_deliftable_dropable, cpr_inv_lift1/ qed-.
  26
  27 (* Basic_1: includes: wcpr0_drop_back *)
  28 lemma ldrop_lpr_trans: dedropable_sn lpr.
  29 /3 width=9 by lpx_sn_liftable_dedropable, cpr_lift/ qed-.
  30
  31 lemma lpr_ldrop_trans_O1: dropable_dx lpr.
  32 /2 width=3 by lpx_sn_dropable/ qed-.