matita/matita/contribs/lambdadelta/delayed_updating/etc/labels/path_depth_labels.etc

   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/syntax/path_depth.ma".
  16 include "delayed_updating/syntax/path_labels.ma".
  17
  18 (* DEPTH FOR PATH ***********************************************************)
  19
  20 (* Constructions with labels ************************************************)
  21
  22 lemma depth_labels_L (n):
  23       n = ♭(𝗟∗∗n).
  24 #n @(nat_ind_succ … n) -n //
  25 #n #IH <labels_succ <depth_L_dx //
  26 qed.