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diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqus_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqus_drops.ma
new file mode 100644
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+++ b/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqus_drops.ma
@@ -0,0 +1,26 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_computation/fqup_drops.ma".
+include "basic_2/s_computation/fqus_fqup.ma".
+
+(* STAR-ITERATED SUPCLOSURE *************************************************)
+
+(* Properties with generic slicing for local environments *******************)
+
+lemma fqus_drops: ∀G,L,K,T,U,l. ⬇*[l] L ≡ K → ⬆*[l] T ≡ U →
+                  ⦃G, L, U⦄ ⊐* ⦃G, K, T⦄.
+#G #L #K #T #U * /3 width=3 by fqup_drops_succ, fqup_fqus/
+#HLK #HTU <(lifts_fwd_isid … HTU) -U // <(drops_fwd_isid … HLK) -K //
+qed.