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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
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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                  *)
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14
15 include "ground/relocation/pr_nexts.ma".
16 include "ground/relocation/pr_isd.ma".
17
18 (* DIVERGENCE CONDITION FOR PARTIAL RELOCATION MAPS *************************)
19
20 (* Constructions with pr_nexts **********************************************)
21
22 (*** isdiv_nexts *)
23 lemma pr_isd_nexts (n) (f): š›€āØfā© ā†’ š›€āØā†‘*[n]fā©.
24 #n @(nat_ind_succ ā€¦ n) -n /3 width=3 by pr_isd_next/
25 qed.
26
27 (* Inversions with pr_nexts *************************************************)
28
29 (*** isdiv_inv_nexts *)
30 lemma pr_isd_inv_nexts (n) (g): š›€āØā†‘*[n]gā© ā†’ š›€āØgā©.
31 #n @(nat_ind_succ ā€¦ n) -n /3 width=3 by pr_isd_inv_next/
32 qed-.