--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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.