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(*       ___                                                              *)
(*      ||M||                                                             *)
(*      ||A||       A project by Andrea Asperti                           *)
(*      ||T||                                                             *)
(*      ||I||       Developers:                                           *)
(*      ||T||         The HELM team.                                      *)
(*      ||A||         http://helm.cs.unibo.it                             *)
(*      \   /                                                             *)
(*       \ /        This file is distributed under the terms of the       *)
(*        v         GNU General Public License Version 2                  *)
(*                                                                        *)
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include "basic_2/static/ssta_aaa.ma".
include "basic_2/reducibility/cpr_aaa.ma".
include "basic_2/reducibility/xpr.ma".

(* EXTENDED PARALLEL REDUCTION ON TERMS *************************************)

(* Properties on atomic arity assignment for terms **************************)

lemma xpr_aaa: ∀h,g,L,T,A. L ⊢ T ⁝ A → ∀U. ⦃h, L⦄ ⊢ T •➡[g] U → L ⊢ U ⁝ A.
#h #g #L #T #A #HT #U * /2 width=3/ /2 width=6/
qed.