--- /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/lazyeqsn_3.ma".
+include "basic_2/static/lfxs.ma".
+
+(* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
+
+(* Basic_2A1: was: lleq *)
+definition lfeq: relation3 term lenv lenv ≝
+ lfxs ceq.
+
+interpretation
+ "syntactic equivalence on referred entries (local environment)"
+ 'LazyEqSn T L1 L2 = (lfeq T L1 L2).
+
+(***************************************************)
+
+axiom lfeq_lfxs_trans: ∀R,L1,L,T. L1 ≡[T] L →
+ ∀L2. L ⪤*[R, T] L2 → L1 ⪤*[R, T] L2.
+
+(* Basic_2A1: removed theorems 10:
+ lleq_ind lleq_fwd_lref
+ lleq_fwd_drop_sn lleq_fwd_drop_dx
+ lleq_skip lleq_lref lleq_free
+ lleq_Y lleq_ge_up lleq_ge
+
+*)