matita/matita/contribs/lambdadelta/delayed_updating/substitution/prelift_rmap_after.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   8 (*      ||A||         http://helm.cs.unibo.it                             *)
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  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/substitution/prelift_rmap.ma".
  16 include "delayed_updating/substitution/prelift_label.ma".
  17 include "ground/relocation/tr_compose_pn.ma".
  18 include "ground/relocation/tr_compose_tls.ma".
  19
  20 (* PRELIFT FOR RELOCATION MAP ***********************************************)
  21
  22 (* Constructions with tr_after **********************************************)
  23
  24 lemma prelift_rmap_after (g) (f) (l):
  25       🠢[g]🠡[f]l∘🠢[f]l = 🠢[g∘f]l.
  26 #g #f * [ #k ] //
  27 <prelift_rmap_d //
  28 qed.