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diff --git a/matita/matita/contribs/lambda_delta/Basic_2/computation/csn_vector.ma b/matita/matita/contribs/lambda_delta/Basic_2/computation/csn_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 "Basic_2/grammar/term_vector.ma".
-include "Basic_2/computation/csn.ma".
-
-(* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERM VECTORS **********************)
-
-inductive csnv (L:lenv): predicate (list term) ≝
-| csnv_nil: csnv L ◊
-| csn_cons: ∀Ts,T. L  ⊢ ⬇* T → csnv L Ts → csnv L (T :: Ts)
-.
-
-interpretation
-   "context-sensitive strong normalization (term vector)"
-   'SN L Ts = (csnv L Ts).
-
-(* Basic inversion lemmas ***************************************************)
-
-fact csnv_inv_cons_aux: ∀L,Ts. L ⊢ ⬇* Ts → ∀U,Us. Ts = U :: Us →
-                        L ⊢ ⬇* U ∧ L ⊢ ⬇* Us.
-#L #Ts * -Ts
-[ #U #Us #H destruct
-| #Ts #T #HT #HTs #U #Us #H destruct /2 width=1/
-]
-qed.
-
-lemma csnv_inv_cons: ∀L,T,Ts. L ⊢ ⬇* T :: Ts → L ⊢ ⬇* T ∧ L ⊢ ⬇* Ts.
-/2 width=3/ qed-.
-
-include "Basic_2/computation/csn_cpr.ma".
-
-lemma csn_fwd_applv: ∀L,T,Vs. L ⊢ ⬇* Ⓐ Vs. T → L ⊢ ⬇* Vs ∧ L ⊢ ⬇* T.
-#L #T #Vs elim Vs -Vs /2 width=1/
-#V #Vs #IHVs #HVs
-lapply (csn_fwd_pair_sn … HVs) #HV
-lapply (csn_fwd_flat_dx … HVs) -HVs #HVs
-elim (IHVs HVs) -IHVs -HVs /3 width=1/
-qed-.