--- /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/notation/relations/lazynegatedeq_4.ma".
+include "basic_2/substitution/lleq.ma".
+
+(* NEGATED LAZY EQUIVALENCE FOR LOCAL ENVIRONMENTS **************************)
+
+definition llneq: relation4 ynat term lenv lenv ≝
+ λd,T,L1,L2. |L1| = |L2| ∧ (L1 ⋕[T, d] L2 → ⊥).
+
+interpretation
+ "negated lazy equivalence (local environment)"
+ 'LazyNegatedEq T d L1 L2 = (llneq d T L1 L2).