matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_structure.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/unwind/unwind2_rmap.ma".
  16 include "delayed_updating/syntax/path_structure.ma".
  17 include "delayed_updating/syntax/path_depth.ma".
  18 include "ground/relocation/tr_pushs.ma".
  19
  20 (* UNWIND MAP FOR PATH ******************************************************)
  21
  22 (* Constructions with structure and depth ***********************************)
  23
  24 lemma unwind2_rmap_structure (p) (f):
  25       (⫯*[♭p]f) = ▶[f]⊗p.
  26 #p elim p -p //
  27 * [ #n ] #p #IH #f //
  28 [ <unwind2_rmap_A_sn //
  29 | <unwind2_rmap_S_sn //
  30 ]
  31 qed.