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/unwind/unwind2_path_eq.ma".
16 include "delayed_updating/substitution/lift_eq.ma".
18 (* UNWIND FOR PATH **********************************************************)
20 (* Properties with lift_path ************************************************)
22 lemma unwind2_lift_path_after (p) (f1) (f2):
23 ↑[f2]▼[f1]p = ▼[f2∘f1]p.
24 #p @(path_ind_unwind … p) -p // [ #n | #p ] #IH #f1 #f2
25 [ <unwind2_path_d_empty <unwind2_path_d_empty
26 <lift_path_d_sn <lift_path_empty //
27 | <unwind2_path_L_sn <unwind2_path_L_sn <lift_path_L_sn
28 >tr_compose_push_bi //