matita/matita/contribs/lambdadelta/ground/relocation/pr_isf_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_isf.ma".
  17
  18 (* FINITE COLENGTH CONDITION FOR PARTIAL RELOCATION MAPS ********************)
  19
  20 (* Constructions with pr_tl *************************************************)
  21
  22 (*** isfin_tl *)
  23 lemma pr_isf_tl (f): 𝐅❨f❩ → 𝐅❨⫰f❩.
  24 #f elim (pr_map_split_tl f) * #Hf
  25 /3 width=3 by pr_isf_inv_push, pr_isf_inv_next/
  26 qed.
  27
  28 (* Inversions with pr_tl ****************************************************)
  29
  30 (*** isfin_inv_tl *)
  31 lemma pr_isf_inv_tl (g): 𝐅❨⫰g❩ → 𝐅❨g❩.
  32 #f elim (pr_map_split_tl f) * #Hf
  33 /2 width=1 by pr_isf_next, pr_isf_push/
  34 qed-.