matita/matita/contribs/lambdadelta/ground/relocation/tr_uni_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_uni_pap.ma".
  16 include "ground/relocation/tr_compose_pap.ma".
  17 include "ground/relocation/tr_pap_eq.ma".
  18
  19 (* UNIFORM ELEMENTS FOR TOTAL RELOCATION MAPS *******************************)
  20
  21 (* Main constructions with tr_compose and tr_tls ****************************)
  22
  23 theorem tr_compose_uni_dx (f) (p):
  24         (𝐮❨f@❨p❩❩∘⇂*[p]f ≗ f∘𝐮❨p❩).
  25 #f #p
  26 @nstream_eq_inv_ext #q
  27 <tr_compose_pap <tr_compose_pap
  28 <tr_uni_pap <tr_uni_pap
  29 <tr_pap_plus //
  30 qed.