--- /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/conversion/lfpc.ma".
+
+(* FOCALIZED PARALLEL CONVERSION ON LOCAL ENVIRONMENTS **********************)
+
+(* Main properties **********************************************************)
+
+theorem lfpc_conf: ∀L0,L1,L2. ⦃L0⦄ ⬌ ⦃L1⦄ → ⦃L0⦄ ⬌ ⦃L2⦄ →
+ ∃∃L. ⦃L1⦄ ⬌ ⦃L⦄ & ⦃L2⦄ ⬌ ⦃L⦄.
+/3 width=3/ qed.