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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/tr_pushs.ma".
16 include "ground/relocation/tr_id.ma".
17
18 (* IDENTITY ELEMENT FOR TOTAL RELOCATION MAPS *******************************)
19
20 (* Constructions with tr_pushs **********************************************)
21
22 lemma tr_pushs_id (n): 𝐢 = ⫯*[n]𝐢.
23 #n @(nat_ind_succ … n) -n //
24 #n #IH <tr_pushs_swap //
25 qed.