matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_pn.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 "ground/relocation/tr_pn.ma".
  16 include "ground/relocation/tr_pap.ma".
  17
  18 (* POSITIVE APPLICATION FOR TOTAL RELOCATION MAPS ***************************)
  19
  20 (* Constructions with tr_push ***********************************************)
  21
  22 lemma tr_pap_push (f):
  23       ∀i. ↑(f@❨i❩) = (⫯f)@❨↑i❩.
  24 // qed.
  25
  26 (* Constructions with tr_next ***********************************************)
  27
  28 (*** apply_S2 *)
  29 lemma tr_pap_next (f):
  30       ∀i. ↑(f@❨i❩) = (↑f)@❨i❩.
  31 * #p #f * //
  32 qed.