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/syntax/path.ma".
16 include "delayed_updating/notation/functions/class_i_0.ma".
17 include "ground/lib/subset.ma".
19 (* INNER CONDITION FOR PATH *************************************************)
21 definition pic: predicate path ā
22 Ī»p. āq,n. qāš±n = p ā ā„
26 "inner condition (path)"
29 (* Basic constructions ******************************************************)
31 lemma pic_empty: š Ļµ š.
33 elim (eq_inv_list_empty_rcons ??? (sym_eq ā¦ H0))
36 lemma pic_m_dx (p): pāšŗ Ļµ š.
38 elim (eq_inv_list_rcons_bi ????? H0) -H0 #_ #H0 destruct
41 lemma pic_L_dx (p): pāš Ļµ š.
43 elim (eq_inv_list_rcons_bi ????? H0) -H0 #_ #H0 destruct
46 lemma pic_A_dx (p): pāš Ļµ š.
48 elim (eq_inv_list_rcons_bi ????? H0) -H0 #_ #H0 destruct
51 lemma pic_S_dx (p): pāš¦ Ļµ š.
53 elim (eq_inv_list_rcons_bi ????? H0) -H0 #_ #H0 destruct
56 (* Basic inversions ********************************************************)
58 lemma pic_inv_d_dx (p) (n):
59 pāš±n Ļµ š ā ā„.