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_pushs.ma".
16 include "ground/relocation/tr_compose_pn.ma".
18 (* COMPOSITION FOR TOTAL RELOCATION MAPS ************************************)
20 (* Constructions with tr_pushs **********************************************)
22 lemma tr_compose_pushs_bi (n) (f2) (f1):
23 (⫯*[n](f2∘f1)) = (⫯*[n]f2)∘(⫯*[n]f1).
24 #n @(nat_ind_succ … n) -n //
26 <tr_pushs_succ <tr_pushs_succ <tr_pushs_succ
27 <tr_compose_push_bi //