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diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma
deleted file mode 100644
index 812bcc365..000000000
--- a/matita/matita/contribs/lambdadelta/basic_2/static/aaa_fqus.ma
+++ /dev/null
@@ -1,63 +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/s_computation/fqus_fqup.ma".
-include "basic_2/static/aaa_drops.ma".
-
-(* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
-
-(* Properties on supclosure *************************************************)
-
-lemma aaa_fqu_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ →
-                    ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
-[ #I #G #L #T #A #H elim (aaa_inv_zero … H) -H
-  #J #K #V #H #HA destruct /2 width=2 by ex_intro/
-| * [ #p ] * #G #L #V #T #X #H
-  [ elim (aaa_inv_abbr … H)
-  | elim (aaa_inv_abst … H)
-  | elim (aaa_inv_appl … H)
-  | elim (aaa_inv_cast … H)
-  ] -H /2 width=2 by ex_intro/
-| #p * #G #L #V #T #X #H
-  [ elim (aaa_inv_abbr … H)
-  | elim (aaa_inv_abst … H)
-  ] -H /2 width=2 by ex_intro/
-| #p #I #G #L #V #T #H destruct
-| * #G #L #V #T #X #H
-  [ elim (aaa_inv_appl … H)
-  | elim (aaa_inv_cast … H)
-  ] -H /2 width=2 by ex_intro/
-| /5 width=8 by aaa_inv_lifts, drops_refl, drops_drop, ex_intro/
-]
-qed-.
-
-lemma aaa_fquq_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ →
-                     ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H /2 width=6 by aaa_fqu_conf/
-* #H1 #H2 #H3 destruct /2 width=2 by ex_intro/
-qed-.
-
-lemma aaa_fqup_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+ ⦃G2, L2, T2⦄ →
-                     ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
-[2: #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A ]
-/2 width=6 by aaa_fqu_conf/
-qed-.
-
-lemma aaa_fqus_conf: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G2, L2, T2⦄ →
-                     ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
-#G1 #G2 #L1 #L2 #T1 #T2 #H elim(fqus_inv_fqup … H) -H /2 width=6 by aaa_fqup_conf/
-* #H1 #H2 #H3 destruct /2 width=2 by ex_intro/
-qed-.