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.ma".
16 include "delayed_updating/unwind/unwind2_rmap_eq.ma".
17 include "delayed_updating/unwind/unwind_gen_eq.ma".
18 include "ground/relocation/tr_compose_compose.ma".
20 (* UNWIND FOR PATH **********************************************************)
22 (* Constructions with stream_eq *********************************************)
24 lemma unwind2_path_eq_repl (p):
25 stream_eq_repl … (λf1,f2. ▼[f1]p = ▼[f2]p).
26 /3 width=1 by unwind2_rmap_eq_repl, unwind_gen_eq_repl/
29 (* Properties with tr_compose ***********************************************)
31 lemma unwind2_path_after (p) (f1) (f2):
32 ▼[f2]▼[f1]p = ▼[f2∘f1]p.
33 #p @(path_ind_unwind … p) -p // [ #n #l #p | #p ] #IH #f1 #f2
34 [ <unwind2_path_d_lcons <unwind2_path_d_lcons
35 >(unwind2_path_eq_repl … (tr_compose_assoc …)) //
36 | <(unwind2_path_L_sn … f1) <unwind2_path_L_sn <unwind2_path_L_sn
37 >tr_compose_push_bi //