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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
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9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
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13 (**************************************************************************)
14
15 include "ground/relocation/pr_tl.ma".
16 include "ground/relocation/pr_isi.ma".
17
18 (* IDENTITY CONDITION FOR PARTIAL RELOCATION MAPS ***************************)
19
20 (* Constructions with pr_tl *************************************************)
21
22 (*** isid_tl *)
23 lemma pr_isi_tl (f): 𝐈❨f❩ → 𝐈❨⫰f❩.
24 #f cases (pr_map_split_tl f) * #H
25 [ /2 width=3 by pr_isi_inv_push/
26 | elim (pr_isi_inv_next … H) -H //
27 ]
28 qed.