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(*       ___                                                              *)
(*      ||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                  *)
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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).