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 "delayed_updating/substitution/lift_eq.ma".
16 include "ground/relocation/tr_compose_pap.ma".
17 include "ground/relocation/tr_compose_pn.ma".
18 include "ground/relocation/tr_compose_tls.ma".
20 (* LIFT FOR PATH ***********************************************************)
22 (* Constructions with tr_after *********************************************)
24 lemma lift_path_after (p) (f1) (f2):
25 ↑[f2]↑[f1]p = ↑[f2∘f1]p.
26 #p elim p -p [| * ] // [ #n ] #p #IH #f1 #f2
27 [ <lift_path_d_sn <lift_path_d_sn <lift_path_d_sn //
28 | <lift_path_L_sn <lift_path_L_sn <lift_path_L_sn
29 >tr_compose_push_bi //