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diff --git a/matita/matita/contribs/lambda_delta/basic_2/grammar/item.ma b/matita/matita/contribs/lambda_delta/basic_2/grammar/item.ma
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--- a/matita/matita/contribs/lambda_delta/basic_2/grammar/item.ma
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@@ -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 "ground_2/arith.ma".
-include "basic_2/notation.ma".
-
-(* ITEMS ********************************************************************)
-
-(* atomic items *)
-inductive item0: Type[0] ≝
-   | Sort: nat → item0 (* sort: starting at 0 *)
-   | LRef: nat → item0 (* reference by index: starting at 0 *)
-   | GRef: nat → item0 (* reference by position: starting at 0 *)
-.
-
-(* binary binding items *)
-inductive bind2: Type[0] ≝
-  | Abbr: bind2 (* abbreviation *)
-  | Abst: bind2 (* abstraction *)
-.
-
-(* binary non-binding items *)
-inductive flat2: Type[0] ≝
-  | Appl: flat2 (* application *)
-  | Cast: flat2 (* explicit type annotation *)
-.
-
-(* binary items *)
-inductive item2: Type[0] ≝
-  | Bind2: bool → bind2 → item2 (* polarized binding item *)
-  | Flat2: flat2 → item2        (* non-binding item *)
-.
-
-(* Basic properties *********************************************************)
-
-axiom item0_eq_dec: ∀I1,I2:item0. Decidable (I1 = I2).
-
-(* Basic_1: was: bind_dec *)
-axiom bind2_eq_dec: ∀I1,I2:bind2. Decidable (I1 = I2).
-
-(* Basic_1: was: flat_dec *)
-axiom flat2_eq_dec: ∀I1,I2:flat2. Decidable (I1 = I2).
-
-(* Basic_1: was: kind_dec *)
-axiom item2_eq_dec: ∀I1,I2:item2. Decidable (I1 = I2).
-
-(* Basic_1: removed theorems 21:
-            s_S s_plus s_plus_sym s_minus minus_s_s s_le s_lt s_inj s_inc
-            s_arith0 s_arith1
-            r_S r_plus r_plus_sym r_minus r_dis s_r r_arith0 r_arith1
-            not_abbr_abst bind_dec_not
-*)