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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
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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/pr_pushs.ma".
16 include "ground/relocation/pr_uni.ma".
17 (* * it should not depend on pr_isi *)
18 include "ground/relocation/pr_coafter_isi.ma".
19
20 (* RELATIONAL CO-COMPOSITION FOR PARTIAL RELOCATION MAPS ********************)
21
22 (* Constructions with pr_uni and pr_pushs ***********************************)
23
24 (*** coafter_uni_sn *)
25 lemma pr_coafter_uni_sn_pushs (n):
26       ∀f. 𝐮❨n❩ ~⊚ f ≘ ⫯*[n] f.
27 #n @(nat_ind_succ … n) -n
28 /2 width=5 by pr_coafter_isi_sn, pr_coafter_next/
29 qed.