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_lift.ma".
17 include "delayed_updating/substitution/lift_path_structure.ma".
19 (* TAILED UNWIND FOR PATH ***************************************************)
21 (* Constructions with lift_path *********************************************)
23 lemma lift_unwind2_path_after (g) (f) (p):
25 #g #f * // * [ #k ] #p //
26 <unwind2_path_d_dx <unwind2_path_d_dx <lift_path_d_dx
27 <lift_path_structure >tr_compose_pap
28 /4 width=1 by tr_pap_eq_repl, eq_f2, eq_f/
31 lemma unwind2_lift_path_after (g) (f) (p):
33 #g #f * // * [ #k ] #p
34 [ <unwind2_path_d_dx <unwind2_path_d_dx
35 <structure_lift_path >tr_compose_pap
36 /4 width=1 by tr_pap_eq_repl, eq_f2, eq_f/
37 | <unwind2_path_m_dx <unwind2_path_m_dx //
38 | <unwind2_path_L_dx <unwind2_path_L_dx //
39 | <unwind2_path_A_dx <unwind2_path_A_dx //
40 | <unwind2_path_S_dx <unwind2_path_S_dx //