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diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/toeq_tdeq.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/toeq_tdeq.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 "static_2/syntax/tdeq.ma".
+include "static_2/syntax/toeq.ma".
+
+(* SORT-IRRELEVANT OUTER EQUIVALENCE FOR TERMS ******************************)
+
+(* Properties with sort-irrelevant equivalence for terms ********************)
+
+lemma tdeq_toeq: ∀T1,T2. T1 ≛ T2 → T1 ⩳ T2.
+#T1 #T2 * -T1 -T2 /2 width=1 by toeq_sort, toeq_pair/
+qed.