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diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_shift.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_shift.ma
deleted file mode 100644
index 66af3f4a5..000000000
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_shift.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_2/steps/rtc_shift.ma".
-include "ground_2/steps/rtc_ist.ma".
-
-(* RT-TRANSITION COUNTER ****************************************************)
-
-(* Properties with test for t-transition counter ****************************)
-
-lemma ist_zero_shift: ∀c. 𝐓❪0,c❫ → 𝐓❪0,↕*c❫.
-#c #H destruct //
-qed.
-
-(* Inversion properties with test for t-transition counter ******************)
-
-lemma ist_inv_shift: ∀n,c. 𝐓❪n,↕*c❫ → ∧∧ 𝐓❪0,c❫ & 0 = n.
-#n #c #H
-elim (shift_inv_dx … H) -H #rt0 #rs0 #ti0 #ts0 #H1 #_ #H2 #H3 #H4 destruct
-elim (max_inv_O3 … H1) -H1 #H11 #H12 destruct
-elim (max_inv_O3 … H2) -H2 #H21 #H22 destruct
-/2 width=1 by conj/
-qed-.
-
-lemma ist_inv_zero_shift: ∀c. 𝐓❪0,↕*c❫ → 𝐓❪0,c❫.
-#c #H elim (ist_inv_shift … H) -H //
-qed-.