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/reduction/lpx_ldrop.ma".
16 include "basic_2/computation/lpxs.ma".
18 (* SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *******************)
20 (* Properies on local environment slicing ***********************************)
22 lemma lpxs_ldrop_conf: ∀h,g,G. dropable_sn (lpxs h g G).
23 /3 width=3 by dropable_sn_TC, lpx_ldrop_conf/ qed-.
25 lemma ldrop_lpxs_trans: ∀h,g,G. dedropable_sn (lpxs h g G).
26 /3 width=3 by dedropable_sn_TC, ldrop_lpx_trans/ qed-.
28 lemma lpxs_ldrop_trans_O1: ∀h,g,G. dropable_dx (lpxs h g G).
29 /3 width=3 by dropable_dx_TC, lpx_ldrop_trans_O1/ qed-.