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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                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 include "ground/relocation/pr_tls.ma".
16 include "ground/relocation/pr_isf_tl.ma".
17
18 (* FINITE COLENGTH CONDITION FOR PARTIAL RELOCATION MAPS ********************)
19
20 (* Constructions with pr_tls ************************************************)
21
22 lemma pr_isf_tls (n) (f): 𝐅❨f❩ → 𝐅❨⫰*[n]f❩.
23 #n @(nat_ind_succ … n) -n /3 width=1 by pr_isf_tl/
24 qed.
25
26 (* Inversions with pr_tls ***************************************************)
27
28 (*** isfin_inv_tls *)
29 lemma pr_isf_inv_tls (n) (g): 𝐅❨⫰*[n]g❩ → 𝐅❨g❩.
30 #n @(nat_ind_succ … n) -n /3 width=1 by pr_isf_inv_tl/
31 qed-.