matita/matita/contribs/lambdadelta/ground/relocation/pr_isi_uni.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_uni.ma".
  16 include "ground/relocation/pr_isi_id.ma".
  17
  18 (* IDENTITY CONDITION FOR PARTIAL RELOCATION MAPS ***************************)
  19
  20 (* Constructions with pr_isi ************************************************)
  21
  22 (*** uni_inv_isid uni_isi *)
  23 lemma pr_uni_isi (f): 𝐮❨𝟎❩ ≡ f → 𝐈❨f❩.
  24 /2 width=1 by pr_eq_id_isi/ qed.
  25
  26 (* Inversions with pr_isi ***************************************************)
  27
  28 (*** uni_isid isi_inv_uni *)
  29 lemma pr_isi_inv_uni (f): 𝐈❨f❩ → 𝐮❨𝟎❩ ≡ f.
  30 /2 width=1 by pr_isi_inv_eq_id/ qed-.