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diff --git a/matita/matita/contribs/lambdadelta/basic_2/syntax/lenv.ma b/matita/matita/contribs/lambdadelta/basic_2/syntax/lenv.ma
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--- a/matita/matita/contribs/lambdadelta/basic_2/syntax/lenv.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/notation/constructors/star_0.ma".
-include "basic_2/notation/constructors/dxitem_2.ma".
-include "basic_2/notation/constructors/dxbind1_2.ma".
-include "basic_2/notation/constructors/dxbind2_3.ma".
-include "basic_2/notation/constructors/dxvoid_1.ma".
-include "basic_2/notation/constructors/dxabbr_2.ma".
-include "basic_2/notation/constructors/dxabst_2.ma".
-include "basic_2/syntax/bind.ma".
-
-(* LOCAL ENVIRONMENTS *******************************************************)
-
-(* local environments *)
-inductive lenv: Type[0] ≝
-| LAtom: lenv               (* empty *)
-| LBind: lenv → bind → lenv (* binding construction *)
-.
-
-interpretation "sort (local environment)"
-   'Star = LAtom.
-
-interpretation "local environment binding construction (generic)"
-   'DxItem L I = (LBind L I).
-
-interpretation "local environment binding construction (unary)"
-   'DxBind1 L I = (LBind L (BUnit I)).
-
-interpretation "local environment binding construction (binary)"
-   'DxBind2 L I T = (LBind L (BPair I T)).
-
-interpretation "void (local environment)"
-   'DxVoid L = (LBind L (BUnit Void)).
-
-interpretation "abbreviation (local environment)"
-   'DxAbbr L T = (LBind L (BPair Abbr T)).
-
-interpretation "abstraction (local environment)"
-   'DxAbst L T = (LBind L (BPair Abst T)).
-
-definition cfull: relation3 lenv bind bind ≝ λL,I1,I2. ⊤.
-
-definition ceq: relation3 lenv term term ≝ λL. eq ….
-
-(* Basic properties *********************************************************)
-
-lemma eq_lenv_dec: ∀L1,L2:lenv. Decidable (L1 = L2).
-#L1 elim L1 -L1 [| #L1 #I1 #IHL1 ] * [2,4: #L2 #I2 ]
-[3: /2 width=1 by or_introl/
-|2: elim (eq_bind_dec I1 I2) #HI
-    [ elim (IHL1 L2) -IHL1 #HL /2 width=1 by or_introl/ ]
-]
-@or_intror #H destruct /2 width=1 by/
-qed-.
-
-lemma cfull_dec: ∀L,T1,T2. Decidable (cfull L T1 T2).
-/2 width=1 by or_introl/ qed-.
-
-(* Basic inversion lemmas ***************************************************)
-
-fact destruct_lbind_lbind_aux: ∀I1,I2,L1,L2. L1.ⓘ{I1} = L2.ⓘ{I2} →
-                               L1 = L2 ∧ I1 = I2.
-#I1 #I2 #L1 #L2 #H destruct /2 width=1 by conj/
-qed-.
-
-(* Basic_2A1: uses: discr_lpair_x_xy *)
-lemma discr_lbind_x_xy: ∀I,L. L = L.ⓘ{I} → ⊥.
-#I #L elim L -L
-[ #H destruct
-| #L #J #IHL #H elim (destruct_lbind_lbind_aux … H) -H  (**) (* destruct lemma needed *)
-  #H1 #H2 destruct /2 width=1 by/
-]
-qed-.
-
-(* Basic_2A1: uses: discr_lpair_xy_x *)
-lemma discr_lbind_xy_x: ∀I,L. L.ⓘ{I} = L → ⊥.
-/2 width=4 by discr_lbind_x_xy/ qed-.