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diff --git a/matita/matita/contribs/lambdadelta/basic_2A/multiple/mr2_plus.ma b/matita/matita/contribs/lambdadelta/basic_2A/multiple/mr2_plus.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_2A/multiple/mr2.ma".
-
-(* MULTIPLE RELOCATION WITH PAIRS *******************************************)
-
-let rec pluss (cs:list2 nat nat) (i:nat) on cs ≝ match cs with
-[ nil2          ⇒ ◊
-| cons2 l m cs ⇒ {l + i, m} @ pluss cs i
-].
-
-interpretation "plus (multiple relocation with pairs)"
-   'plus x y = (pluss x y).
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma pluss_inv_nil2: ∀i,cs. cs + i = ◊ → cs = ◊.
-#i * // normalize
-#l #m #cs #H destruct
-qed.
-
-lemma pluss_inv_cons2: ∀i,l,m,cs2,cs. cs + i = {l, m} @ cs2 →
-                       ∃∃cs1. cs1 + i = cs2 & cs = {l - i, m} @ cs1.
-#i #l #m #cs2 * normalize
-[ #H destruct
-| #l1 #m1 #cs1 #H destruct /2 width=3 by ex2_intro/
-]
-qed-.