matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_id.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_2/relocation/nstream_id.ma".
  16 include "ground_2/relocation/rtmap_isid.ma".
  17
  18 (* RELOCATION MAP ***********************************************************)
  19
  20 (* Basic properties *********************************************************)
  21
  22 lemma id_isid: 𝐈❪𝐈𝐝❫.
  23 /3 width=5 by eq_push_isid/ qed.
  24
  25 (* Alternative definition of isid *******************************************)
  26
  27 lemma eq_id_isid: ∀f. 𝐈𝐝 ≡ f → 𝐈❪f❫.
  28 /2 width=3 by isid_eq_repl_back/ qed.
  29
  30 lemma eq_id_inv_isid: ∀f. 𝐈❪f❫ → 𝐈𝐝 ≡ f.
  31 /2 width=1 by isid_inv_eq_repl/ qed-.