matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_after.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 "delayed_updating/substitution/lift_rmap_after.ma".
  16 include "delayed_updating/substitution/prelift_label_after.ma".
  17
  18 (* LIFT FOR PATH ************************************************************)
  19
  20 (* Constructions with tr_after **********************************************)
  21
  22 lemma lift_path_after (g) (f) (p):
  23       🠡[g]🠡[f]p = 🠡[g∘f]p.
  24 #g #f #p elim p -p //
  25 #l #p #IH
  26 <lift_path_rcons <lift_path_rcons  <IH -IH //
  27 qed.