matita/matita/contribs/lambdadelta/ground/relocation/tr_id_compose.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_id_pap.ma".
  16 include "ground/relocation/tr_compose_pap.ma".
  17 include "ground/relocation/tr_pap_eq.ma".
  18
  19 (* IDENTITY ELEMENT FOR TOTAL RELOCATION MAPS *******************************)
  20
  21 (* Coonstructions with tr_compose *******************************************)
  22
  23 lemma tr_compose_id_sn (f):
  24       f ≗ 𝐢∘f.
  25 #f @nstream_eq_inv_ext #q //
  26 qed.
  27
  28 lemma tr_compose_id_dx (f):
  29       f ≗ f∘𝐢.
  30 #f @nstream_eq_inv_ext #q //
  31 qed.