--- /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/unfold/ltpss.ma".
+
+(* DELIFT ON LOCAL ENVIRONMENTS ********************************************)
+
+definition thin: nat → nat → relation lenv ≝
+ λd,e,L1,L2. ∃∃L. L1 [d, e] ▶* L & ⇩[d, e] L ≡ L2.
+
+interpretation "delift (local environment)"
+ 'TSubst L1 d e L2 = (thin d e L1 L2).
+
+(* Basic properties *********************************************************)