matita/matita/contribs/lambdadelta/basic_2/reduction/lpx_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/cpx_lift.ma".
  17 include "basic_2/reduction/lpx.ma".
  18
  19 (* SN EXTENDED PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS ********************)
  20
  21 (* Properies on local environment slicing ***********************************)
  22
  23 lemma lpx_ldrop_conf: ∀h,g. dropable_sn (lpx h g).
  24 /3 width=5 by lpx_sn_deliftable_dropable, cpx_inv_lift1/ qed-.
  25
  26 lemma ldrop_lpx_trans: ∀h,g. dedropable_sn (lpx h g).
  27 /3 width=9 by lpx_sn_liftable_dedropable, cpx_lift/ qed-.
  28
  29 lemma lpx_ldrop_trans_O1: ∀h,g. dropable_dx (lpx h g).
  30 /2 width=3 by lpx_sn_dropable/ qed-.