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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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11 (* v GNU General Public License Version 2 *)
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15 include "basic_2/reduction/lpr_drop.ma".
16 include "basic_2/computation/lprs.ma".
18 (* SN PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ****************************)
20 (* Properties on local environment slicing ***********************************)
22 lemma lprs_drop_conf: ∀G. dropable_sn (lprs G).
23 /3 width=3 by dropable_sn_TC, lpr_drop_conf/ qed-.
25 lemma drop_lprs_trans: ∀G. dedropable_sn (lprs G).
26 /3 width=3 by dedropable_sn_TC, drop_lpr_trans/ qed-.
28 lemma lprs_drop_trans_O1: ∀G. dropable_dx (lprs G).
29 /3 width=3 by dropable_dx_TC, lpr_drop_trans_O1/ qed-.