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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/sta/sta_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/sta/sta_aaa.etc
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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 "basic_2/static/sta.ma".
-include "basic_2/static/aaa_lift.ma".
-
-(* STATIC TYPE ASSIGNMENT FOR TERMS *****************************************)
-
-(* Properties on atomic arity assignment for terms **************************)
-
-lemma aaa_sta: ∀h,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ∃U. ⦃G, L⦄ ⊢ T •[h] U.
-#h #G #L #T #A #H elim H -G -L -T -A
-[ /2 width=2 by sta_sort, ex_intro/
-| * #G #L #K [ #V | #W ] #B #i #HLK #_ * [ #W | #V ] #HVW
-  elim (lift_total W 0 (i+1)) /3 width=7 by sta_ldef, sta_ldec, ex_intro/
-| #a #G #L #V #T #B #A #_ #_ #_ * /3 width=2 by sta_bind, ex_intro/
-| #a #G #L #V #T #B #A #_ #_ #_ * /3 width=2 by sta_bind, ex_intro/
-| #G #L #V #T #B #A #_ #_ #_ * /3 width=2 by sta_appl, ex_intro/
-| #G #L #W #T #A #_ #_ #_ * /3 width=2 by sta_cast, ex_intro/
-]
-qed-.
-
-lemma sta_aaa_conf: ∀h,G,L. Conf3 … (aaa G L) (sta h G L).
-#h #G #L #T #A #H elim H -G -L -T -A
-[ #G #L #k #U #H
-  lapply (sta_inv_sort1 … H) -H #H destruct //
-| #I #G #L #K #V #B #i #HLK #HV #IHV #U #H
-  elim (sta_inv_lref1 … H) -H * #K0 #V0 #W0 #HLK0 #HVW0 #HU
-  lapply (drop_mono … HLK0 … HLK) -HLK0 #H0 destruct
-  lapply (drop_fwd_drop2 … HLK) -HLK #HLK
-  @(aaa_lift … HLK … HU) -HU -L /2 width=2 by/
-| #a #G #L #V #T #B #A #HV #_ #_ #IHT #X #H
-  elim (sta_inv_bind1 … H) -H #U #HTU #H destruct /3 width=2 by aaa_abbr/
-| #a #G #L #V #T #B #A #HV #_ #_ #IHT #X #H
-  elim (sta_inv_bind1 … H) -H #U #HTU #H destruct /3 width=2 by aaa_abst/
-| #G #L #V #T #B #A #HV #_ #_ #IHT #X #H
-  elim (sta_inv_appl1 … H) -H #U #HTU #H destruct /3 width=3 by aaa_appl/
-| #G #L #V #T #A #_ #_ #IHV #IHT #X #H
-  lapply (sta_inv_cast1 … H) -H /2 width=2 by/
-]
-qed-.