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3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "ground/relocation/tr_pn.ma".
16 include "ground/relocation/tr_pap.ma".
17
18 (* POSITIVE APPLICATION FOR TOTAL RELOCATION MAPS ***************************)
19
20 (* Constructions with tr_push ***********************************************)
21
22 lemma tr_pap_push (f):
23       ∀i. ↑(f@❨i❩) = (⫯f)@❨↑i❩.
24 // qed.
25
26 (* Constructions with tr_next ***********************************************)
27
28 (*** apply_S2 *)
29 lemma tr_pap_next (f):
30       ∀i. ↑(f@❨i❩) = (↑f)@❨i❩.
31 * #p #f * //
32 qed.