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diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma b/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma
deleted file mode 100644
index 4c7446e31..000000000
--- a/matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma
+++ /dev/null
@@ -1,46 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/notation/relations/suptermopt_6.ma".
-include "basic_2/notation/relations/suptermopt_7.ma".
-include "basic_2/s_transition/fqu.ma".
-
-(* OPTIONAL SUPCLOSURE ******************************************************)
-
-(* Basic_2A1: was: fquqa *)
-(* Basic_2A1: includes: fquq_inv_gen *)
-definition fquq: bool → tri_relation genv lenv term ≝
-                 λb. tri_RC … (fqu b).
-
-interpretation
-   "extended optional structural successor (closure)"
-   'SupTermOpt b G1 L1 T1 G2 L2 T2 = (fquq b G1 L1 T1 G2 L2 T2).
-
-interpretation
-   "optional structural successor (closure)"
-   'SupTermOpt G1 L1 T1 G2 L2 T2 = (fquq true G1 L1 T1 G2 L2 T2).
-
-(* Basic properties *********************************************************)
-
-(* Basic_2A1: includes: fquqa_refl *)
-lemma fquq_refl: ∀b. tri_reflexive … (fquq b).
-// qed.
-
-lemma fqu_fquq: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊐⸮[b] ⦃G2, L2, T2⦄.
-/2 width=1 by or_introl/ qed.
-
-(* Basic_2A1: removed theorems 8:
-              fquq_lref_O fquq_pair_sn fquq_bind_dx fquq_flat_dx fquq_drop
-              fquqa_drop fquq_fquqa fquqa_inv_fquq
-*)