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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "ground/relocation/pr_pushs.ma".
16 include "ground/relocation/pr_isi.ma".
17
18 (* IDENTITY CONDITION FOR PARTIAL RELOCATION MAPS ***************************)
19
20 (* Constructions with pr_pushs **********************************************)
21
22 (*** isid_pushs *)
23 lemma pr_isi_pushs (n) (f): 𝐈❨f❩ → 𝐈❨⫯*[n]f❩.
24 #n @(nat_ind_succ … n) -n /3 width=3 by pr_isi_push/
25 qed.
26
27 (* Inversions with pr_pushs *************************************************)
28
29 (*** isid_inv_pushs *)
30 lemma pr_isi_inv_pushs (n) (g): 𝐈❨⫯*[n]g❩ → 𝐈❨g❩.
31 #n @(nat_ind_succ … n) -n /3 width=3 by pr_isi_inv_push/
32 qed-.