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diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/cpr/lfpr_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/cpr/lfpr_aaa.etc
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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_2/static/aaa_ltpss_sn.ma".
+include "basic_2/reducibility/ltpr_aaa.ma".
+include "basic_2/reducibility/lfpr.ma".
+
+(* FOCALIZED PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS **********************)
+
+(* Properties about atomic arity assignment on terms ************************)
+
+lemma aaa_lfpr_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. ⦃L1⦄ ➡ ⦃L2⦄ → L2 ⊢ T ⁝ A.
+#L1 #T #A #HT #L2 * /3 width=5/
+qed.