matita/matita/contribs/lambdadelta/ground/relocation/pr_isi_tl.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/pr_tl.ma".
  16 include "ground/relocation/pr_isi.ma".
  17
  18 (* IDENTITY CONDITION FOR PARTIAL RELOCATION MAPS ***************************)
  19
  20 (* Constructions with pr_tl *************************************************)
  21
  22 (*** isid_tl *)
  23 lemma pr_isi_tl (f): 𝐈❨f❩ → 𝐈❨⫰f❩.
  24 #f cases (pr_map_split_tl f) * #H
  25 [ /2 width=3 by pr_isi_inv_push/
  26 | elim (pr_isi_inv_next … H) -H //
  27 ]
  28 qed.