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diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_req.ma b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_req.ma
new file mode 100644
index 000000000..ab3ebca98
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+++ b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_req.ma
@@ -0,0 +1,27 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "static_2/static/req_fsle.ma".
+include "static_2/static/rdeq.ma".
+
+(* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
+
+(* Properties with syntactic equivalence on referred entries ****************)
+
+lemma req_rdeq: ∀h,o,L1,L2. ∀T:term. L1 ≡[T] L2 → L1 ≛[h, o, T] L2.
+/2 width=3 by rex_co/ qed.
+
+lemma req_rdeq_trans: ∀h,o,L1,L. ∀T:term. L1 ≡[T] L →
+                      ∀L2. L ≛[h, o, T] L2 → L1 ≛[h, o, T] L2.
+/2 width=3 by req_rex_trans/ qed-.