matita/matita/contribs/lambdadelta/ground/relocation/gr_isd_nexts.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 "ground/relocation/gr_nexts.ma".
  16 include "ground/relocation/gr_isd.ma".
  17
  18 (* DIVERGENCE CONDITION FOR GENERIC RELOCATION MAPS *************************)
  19
  20 (* Constructions with gr_nexts **********************************************)
  21
  22 (*** isdiv_nexts *)
  23 lemma gr_isd_nexts (n) (f): 𝛀❪f❫ → 𝛀❪↑*[n]f❫.
  24 #n @(nat_ind_succ … n) -n /3 width=3 by gr_isd_next/
  25 qed.
  26
  27 (* Inversions with gr_nexts *************************************************)
  28
  29 (*** isdiv_inv_nexts *)
  30 lemma gr_isd_inv_nexts (n) (g): 𝛀❪↑*[n]g❫ → 𝛀❪g❫.
  31 #n @(nat_ind_succ … n) -n /3 width=3 by gr_isd_inv_next/
  32 qed-.