matita/matita/contribs/lambdadelta/delayed_updating/etc/relocation/sbr_pap_push.etc

   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 "delayed_updating/relocation/sbr_pap.ma".
  16 include "delayed_updating/relocation/sbr_push.ma".
  17
  18 (* POSITIVE APPLICATION FOR BASIC STACKS OF RELOCATION MAPS *****************)
  19
  20 (* constructions with sbr_push **********************************************)
  21
  22 lemma sbr_push_pap_unit (f) (p):
  23       ↑p = (p⫯❘f)❘@❨𝟏❩.
  24 // qed.
  25
  26 lemma sbr_push_pap (f) (q) (p):
  27       q + p = (p⫯❘f)❘@❨q❩.
  28 #f * //
  29 #q * //
  30 #p <sbr_pap_unfold_succ_bi //
  31 qed.