matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_prelift.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_gen_eq.ma".
  16 include "delayed_updating/substitution/prelift_label.ma".
  17 include "delayed_updating/substitution/prelift_rmap.ma".
  18
  19 (* LIFT FOR PATH ************************************************************)
  20
  21 (* Constructions with prelift_rmap and prelift_path *************************)
  22
  23 lemma lift_path_lcons_prelift (f) (p) (l):
  24       (↑[f]l)◗↑[↑[l]f]p = ↑[f](l◗p).
  25 #f #p * [ #n ] //
  26 qed.
  27
  28 lemma lift_path_rcons_prelift (f) (p) (l):
  29       (↑[f]p)◖↑[↑[p]f]l = ↑[f](p◖l).
  30 #f #p * [ #n ] //
  31 qed.