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diff --git a/matita/matita/contribs/lambdadelta/basic_2A/computation/scpds_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2A/computation/scpds_aaa.ma
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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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2A/unfold/lstas_aaa.ma".
+include "basic_2A/computation/cpxs_aaa.ma".
+include "basic_2A/computation/scpds.ma".
+
+(* STRATIFIED DECOMPOSED PARALLEL COMPUTATION ON TERMS **********************)
+
+(* Properties on atomic arity assignment for terms **************************)
+
+lemma scpds_aaa_conf: ∀h,g,G,L,d. Conf3 … (aaa G L) (scpds h g d G L).
+#h #g #G #L #d #A #T #HT #U * /3 width=6 by lstas_aaa_conf, cprs_aaa_conf/
+qed.