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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
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15 include "basic_2/reduction/lpr_lpr.ma".
16 include "basic_2/computation/lprs.ma".
18 (* SN PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ****************************)
20 (* Advanced properties ******************************************************)
22 lemma lprs_strip: ∀G. confluent2 … (lprs G) (lpr G).
23 /3 width=3 by TC_strip1, lpr_conf/ qed-.
25 (* Main properties **********************************************************)
27 theorem lprs_conf: ∀G. confluent2 … (lprs G) (lprs G).
28 /3 width=3 by TC_confluent2, lpr_conf/ qed-.
30 theorem lprs_trans: ∀G. Transitive … (lprs G).
31 /2 width=3 by trans_TC/ qed-.