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_compose.ma".
16 include "ground/relocation/tr_pap_tls.ma".
18 (* COMPOSITION FOR TOTAL RELOCATION MAPS ************************************)
20 (* Constructions with tr_pap ************************************************)
23 lemma tr_compose_pap (i) (f1) (f2):
24 f2@⧣❨f1@⧣❨i❩❩ = (f2∘f1)@⧣❨i❩.
27 <tr_compose_unfold <tr_cons_pap_unit <tr_cons_pap_unit //
28 | #i #IH * #p1 #f1 #f2
29 <tr_compose_unfold <tr_cons_pap_succ <tr_cons_pap_succ //