--- /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_req.ma".
+include "static_2/static/fdeq.ma".
+
+(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
+
+(* Properties with syntactic equivalence on referred entries ****************)
+
+lemma req_rdeq_trans: ∀h,o,L1,L,T1. L1 ≡[T1] L →
+ ∀G1,G2,L2,T2. ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
+#h #o #L1 #L #T1 #HL1 #G1 #G2 #L2 #T2 #H
+elim (fdeq_inv_gen_sn … H) -H #H #HL2 #T12 destruct
+/3 width=3 by fdeq_intro_sn, req_rdeq_trans/
+qed-.