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diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_pat_tls.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_pat_tls.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 "ground/relocation/gr_tls.ma".
-include "ground/relocation/gr_pat.ma".
-include "ground/relocation/gr_after.ma".
-
-(* RELATIONAL COMPOSITION FOR GENERIC RELOCATION MAPS ***********************)
-
-(* Constructions with gr_pat and gr_tls *************************************)
-
-(* Note: this requires ↑ on first n *)
-(*** after_tls *)
-lemma gr_after_tls_sn_tls (n):
-      ∀f1,f2,f. @❪𝟏, f1❫ ≘ ↑n →
-      f1 ⊚ f2 ≘ f → ⫰*[n]f1 ⊚ f2 ≘ ⫰*[n]f.
-#n @(nat_ind_succ … n) -n //
-#n #IH #f1 #f2 #f #Hf1 #Hf
-cases (gr_pat_inv_unit_succ … Hf1) -Hf1 [ |*: // ] #g1 #Hg1 #H1
-cases (gr_after_inv_next_sn … Hf … H1) -Hf #g #Hg #H0 destruct
-<gr_tls_swap <gr_tls_swap /2 width=1 by/
-qed.