--- /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/lcpc.ma".
+
+(* CONTEXT-SENSITIVE PARALLEL CONVERSION ON LOCAL ENVIRONMENTS **************)
+
+(* Main properties **********************************************************)
+
+theorem lcpc_conf: ∀L0,L1,L2. L0 ⊢ ⬌ L1 → L0 ⊢ ⬌ L2 →
+ ∃∃L. L1 ⊢ ⬌ L & L2 ⊢ ⬌ L.
+/3 width=3/ qed.