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/unwind3/unwind.ma".
16 include "delayed_updating/syntax/path_depth.ma".
17 include "ground/relocation/tr_uni_compose.ma".
18 include "ground/lib/stream_tls_plus.ma".
19 include "ground/lib/stream_eq_eq.ma".
21 (* UNWIND FOR PATH **********************************************************)
23 (* Constructions with depth *************************************************)
25 lemma tls_succ_unwind (q) (p) (f):
26 ▼[p]f ≗ ⇂*[↑❘q❘]▼[p●𝗟◗q]f.
27 #q @(list_ind_rcons … q) -q //
28 #q * [ #n ] #IH #p #f //
29 <depth_d_dx >list_cons_shift <list_append_assoc <unwind_rmap_d_dx
30 /3 width=3 by tr_tls_compose_uni_sn, stream_eq_trans/