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