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_k/unwind2_rmap.ma".
16 include "delayed_updating/unwind_k/preunwind2_rmap_lift.ma".
17 include "delayed_updating/unwind_k/preunwind2_rmap_eq.ma".
18 include "delayed_updating/substitution/lift_path.ma".
19 include "delayed_updating/syntax/path_structure.ma".
21 (* TAILED UNWIND FOR RELOCATION MAP *****************************************)
23 (* Constructions with lift_path *********************************************)
25 lemma lift_unwind2_rmap_after (g) (f) (p):
26 š ¢[g]āpāā¶[f]p ā ā¶[gāf]p.
29 [ <unwind2_rmap_d_dx <unwind2_rmap_d_dx
30 @(stream_eq_canc_sn ā¦ (tr_compose_assoc ā¦))
31 /2 width=1 by tr_compose_eq_repl/
32 | <unwind2_rmap_L_dx <unwind2_rmap_L_dx <lift_rmap_L_dx
33 /2 width=1 by tr_push_eq_repl/
37 lemma unwind2_lift_rmap_after (g) (f) (p:path):
38 ā¶[g]š ”[f]pāš ¢[f]p ā ā¶[gāf]p.
39 #g #f #p elim p -p // #l #p #IH
40 <lift_path_rcons <lift_rmap_rcons <unwind2_rmap_rcons <unwind2_rmap_rcons
41 @(stream_eq_trans ā¦ (preunwind2_lift_rmap_after ā¦))
42 /2 width=1 by preunwind2_rmap_eq_repl/