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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 *)
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15 include "delayed_updating/syntax/prototerm.ma".
16 include "delayed_updating/syntax/path_inner.ma".
17 include "ground/lib/subset_ext_equivalence.ma".
19 (* INNER CONDITION FOR PROTOTERM ********************************************)
22 "inner condition (prototerm)"
23 'ClassI = (subset_ext_p1 path pic).
25 (* Basic destructions *******************************************************)
27 lemma in_comp_tic_trans (t) (p):
28 p Ļµ t ā t Ļµ š ā p Ļµ š.
33 (* Basic inversions *********************************************************)
35 lemma tic_inv_d_dx (t) (p) (n):
36 pāš±n Ļµ t ā t Ļµ š ā ā„.
37 /2 width=7 by in_comp_tic_trans/ qed-.