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 "basic_2/relocation/ldrop_lpx_sn.ma".
16 include "basic_2/reduction/cpr_lift.ma".
17 include "basic_2/reduction/lpr.ma".
19 (* SN PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS *****************************)
21 (* Properies on local environment slicing ***********************************)
23 (* Basic_1: includes: wcpr0_drop *)
24 lemma lpr_ldrop_conf: dropable_sn lpr.
25 /3 width=5 by lpx_sn_deliftable_dropable, cpr_inv_lift1/ qed-.
27 (* Basic_1: includes: wcpr0_drop_back *)
28 lemma ldrop_lpr_trans: dedropable_sn lpr.
29 /3 width=9 by lpx_sn_liftable_dedropable, cpr_lift/ qed-.
31 lemma lpr_ldrop_trans_O1: dropable_dx lpr.
32 /2 width=3 by lpx_sn_dropable/ qed-.