1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "ground/relocation/tr_pn.ma".
16 include "ground/relocation/tr_pap.ma".
18 (* POSITIVE APPLICATION FOR TOTAL RELOCATION MAPS ***************************)
20 (* Constructions with tr_push ***********************************************)
22 lemma tr_pap_push (f):
23 ∀i. ↑(f@❨i❩) = (⫯f)@❨↑i❩.
26 (* Constructions with tr_next ***********************************************)
29 lemma tr_pap_next (f):
30 ∀i. ↑(f@❨i❩) = (↑f)@❨i❩.