--- /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 "static_2/static/rdeq_fqup.ma".
+include "static_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.