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diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_tl.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_tl.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_2/notation/functions/droppred_1.ma".
-include "ground_2/relocation/rtmap_eq.ma".
-
-(* RELOCATION MAP ***********************************************************)
-
-definition tl: rtmap → rtmap.
-@case_type0 #f @f
-defined.
-
-interpretation "tail (rtmap)" 'DropPred f = (tl f).
-
-(* Basic properties *********************************************************)
-
-lemma tl_rew: ∀f. case_type0 (λ_:rtmap.rtmap) (λf:rtmap.f) (λf:rtmap.f) f = ⫱f.
-// qed.
-
-lemma tl_push_rew: ∀f. f = ⫱⫯f.
-#f <tl_rew <iota_push //
-qed.
-
-lemma tl_next_rew: ∀f. f = ⫱↑f.
-#f <tl_rew <iota_next //
-qed.
-
-lemma tl_eq_repl: eq_repl … (λf1,f2. ⫱f1 ≡ ⫱f2).
-#f1 #f2 * -f1 -f2 //
-qed.