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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 include "delayed_updating/unwind/unwind2_prototerm.ma".
16 include "delayed_updating/unwind/unwind2_path_append.ma".
17 include "ground/lib/subset_overlap.ma".
18
19 (* TAILED UNWIND FOR PROTOTERM **********************************************)
20
21 (* Destructions with inner condition for path *******************************)
22
23 lemma unwind2_term_des_inner (f) (t):
24       ▼[f]t ≬ 𝐈 → t ≬ 𝐈.
25 #f #t * #p * #q #Hq #H0 #Hp destruct
26 @(subset_ol_i … Hq) -Hq (**) (* auto does not work *)
27 @(unwind2_path_des_inner … Hp)
28 qed-.