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diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq_length.ma b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq_length.ma
new file mode 100644
index 000000000..9e9027694
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq_length.ma
@@ -0,0 +1,25 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/s_transition/fqu_length.ma".
+include "basic_2/s_transition/fquq.ma".
+
+(* OPTIONAL SUPCLOSURE ******************************************************)
+
+(* Forward lemmas with length for local environments ************************)
+
+lemma fquq_fwd_length_lref1: ∀G1,G2,L1,L2,T2,i. ⦃G1, L1, #i⦄ ⊐⸮ ⦃G2, L2, T2⦄ → |L2| ≤ |L1|.
+#G1 #G2 #L1 #L2 #T2 #i #H elim H -H [2: * ]
+/3 width=5 by fqu_fwd_length_lref1, lt_to_le/
+qed-.