matita/matita/contribs/lambdadelta/ground/relocation/tr_pap_tls.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_pap.ma".
  16 include "ground/lib/stream_tls.ma".
  17
  18 (* POSITIVE APPLICATION FOR TOTAL RELOCATION MAPS ***************************)
  19
  20 (* Constructions with stream_tls ********************************************)
  21
  22 lemma tr_pap_plus (i1) (i2) (f):
  23       (⇂*[ninj i2]f)@❨i1❩+f@❨i2❩ = f@❨i1+i2❩.
  24 #i1 #i2 elim i2 -i2
  25 [ * #p #f //
  26 | #i #IH * #p #f
  27   <pplus_succ_dx <tr_pap_succ <tr_pap_succ
  28   <IH -IH >nsucc_inj //
  29 ]
  30 qed.