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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 "basic_2/substitution/ldrop_lpx_sn.ma".
16 include "basic_2/unfold/cpss_lift.ma".
17 include "basic_2/unfold/lpss.ma".
18
19 (* SN PARALLEL UNFOLD FOR LOCAL ENVIRONMENTS ********************************)
20
21 (* Properies on local environment slicing ***********************************)
22
23 lemma lpss_ldrop_conf: dropable_sn lpss.
24 /3 width=5 by lpx_sn_deliftable_dropable, cpss_inv_lift1/ qed-.
25
26 lemma ldrop_lpss_trans: dedropable_sn lpss.
27 /3 width=9 by lpx_sn_liftable_dedropable, cpss_lift/ qed-.
28
29 lemma lpss_ldrop_trans_O1: dropable_dx lpss.
30 /2 width=3 by lpx_sn_dropable/ qed-.