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diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/fdeq_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/static/fdeq_fqup.ma
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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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/static/rdeq_fqup.ma".
+include "basic_2/static/fdeq.ma".
+
+(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
+
+(* Properties with degree-based equivalence for terms ***********************)
+
+lemma tdeq_fdeq: ∀h,o,T1,T2. T1 ≛[h, o] T2 →
+                 ∀G,L. ⦃G, L, T1⦄ ≛[h, o] ⦃G, L, T2⦄.
+/2 width=1 by fdeq_intro_sn/ qed.
+
+(* Advanced properties ******************************************************)
+
+lemma fdeq_refl: ∀h,o. tri_reflexive … (fdeq h o).
+/2 width=1 by fdeq_intro_sn/ qed.