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/reduction/cpx_lift.ma".
17 include "basic_2/reduction/lpx.ma".
19 (* SN EXTENDED PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS ********************)
21 (* Properies on local environment slicing ***********************************)
23 lemma lpx_ldrop_conf: ∀h,g,G. dropable_sn (lpx h g G).
24 /3 width=5 by lpx_sn_deliftable_dropable, cpx_inv_lift1/ qed-.
26 lemma ldrop_lpx_trans: ∀h,g,G. dedropable_sn (lpx h g G).
27 /3 width=9 by lpx_sn_liftable_dedropable, cpx_lift/ qed-.
29 lemma lpx_ldrop_trans_O1: ∀h,g,G. dropable_dx (lpx h g G).
30 /2 width=3 by lpx_sn_dropable/ qed-.