matita/matita/contribs/lambdadelta/delayed_updating/unwind0/unwind2_path_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/unwind0/unwind2_rmap.ma".
  16 include "delayed_updating/unwind0/unwind2_path.ma".
  17 include "delayed_updating/unwind0/unwind1_path_structure.ma".
  18
  19 (* EXTENDED UNWIND FOR PATH *************************************************)
  20
  21 (* Constructions with structure *********************************************)
  22
  23 lemma unwind2_path_d_dx (f) (p) (n):
  24       (⊗p)◖𝗱((▶[f]p)@❨n❩) = ▼[f](p◖𝗱n).
  25 #f #p #n
  26 <unwind2_path_unfold <lift_path_d_dx <unwind1_path_d_dx
  27 <structure_lift >tr_compose_pap //
  28 qed.