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diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_basic.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_basic.ma
deleted file mode 100644
index 00c0672c8..000000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_basic.ma
+++ /dev/null
@@ -1,38 +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/arith/nat_le_pred.ma".
-include "ground/relocation/gr_basic.ma".
-include "ground/relocation/gr_after_uni.ma".
-
-(* RELATIONAL COMPOSITION FOR GENERIC RELOCATION MAPS ***********************)
-
-(* Constructions with gr_basic **********************************************)
-
-(*** after_basic_rc *)
-lemma after_basic_rc (d2) (d1):
-      d1 ≤ d2 → ∀h2,h1.d2 ≤ h1+d1 → 𝐛❨d2,h2❩ ⊚ 𝐛❨d1,h1❩ ≘ 𝐛❨d1,h1+h2❩.
-#d2 #d1 @(nat_ind_2_succ … d2 d1) -d2 -d1
-[ #d1 #H #h2 #h1 #_
-  <(nle_inv_zero_dx … H) -d1 //
-| #d2 #IH #_ #h2 #h1 <nplus_zero_dx #H
-  elim (nle_inv_succ_sn … H) -H #Hd2 #Hh1
-  >Hh1 -Hh1 <nplus_succ_sn
-  /3 width=7 by gr_after_push/
-| #d2 #d1 #IH #H1 #h2 #h1 <nplus_succ_dx #H2
-  lapply (nle_inv_succ_bi … H1) -H1 #H1
-  lapply (nle_inv_succ_bi … H2) -H2 #H2
-  /3 width=7 by gr_after_refl/
-]
-qed.