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diff --git a/matita/matita/contribs/lambdadelta/basic_2/syntax/term_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/syntax/term_vector.ma
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index df6e6e1cf..000000000
--- a/matita/matita/contribs/lambdadelta/basic_2/syntax/term_vector.ma
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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 "ground_2/lib/list.ma".
-include "basic_2/notation/functions/snapplvector_2.ma".
-include "basic_2/syntax/term_simple.ma".
-
-(* TERMS ********************************************************************)
-
-rec definition applv Vs T on Vs ≝
-  match Vs with
-  [ nil        ⇒ T
-  | cons hd tl ⇒ ⓐhd. (applv tl T)
-  ].
-
-interpretation "application to vector (term)"
-   'SnApplVector Vs T = (applv Vs T).
-
-(* Basic properties *********************************************************)
-
-lemma applv_nil: ∀T. ⒶⒺ.T = T.
-// qed.
-
-lemma applv_cons: ∀V,Vs,T. ⒶV⨮Vs.T = ⓐV.ⒶVs.T.
-// qed.
-
-(* Properties with simple terms *********************************************)
-
-lemma applv_simple: ∀T,Vs. 𝐒⦃T⦄ → 𝐒⦃ⒶVs.T⦄.
-#T * //
-qed.