matita/matita/contribs/lambdadelta/ground/relocation/pr_isf_tls.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_tls.ma".
  16 include "ground/relocation/pr_isf_tl.ma".
  17
  18 (* FINITE COLENGTH CONDITION FOR PARTIAL RELOCATION MAPS ********************)
  19
  20 (* Constructions with pr_tls ************************************************)
  21
  22 lemma pr_isf_tls (n) (f): 𝐅❨f❩ → 𝐅❨⫰*[n]f❩.
  23 #n @(nat_ind_succ … n) -n /3 width=1 by pr_isf_tl/
  24 qed.
  25
  26 (* Inversions with pr_tls ***************************************************)
  27
  28 (*** isfin_inv_tls *)
  29 lemma pr_isf_inv_tls (n) (g): 𝐅❨⫰*[n]g❩ → 𝐅❨g❩.
  30 #n @(nat_ind_succ … n) -n /3 width=1 by pr_isf_inv_tl/
  31 qed-.