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diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_isrt_shift.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_isrt_shift.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/steps/rtc_shift.ma".
-include "ground_2/steps/rtc_isrt.ma".
-
-(* RT-TRANSITION COUNTER ****************************************************)
-
-(* Properties with test for costrained rt-transition counter ****************)
-
-lemma isr_shift: âˆ€c. ð‘𝐓❊0,câŦ â†’ ð‘𝐓❊0,↕*câŦ.
-#c * #ri #rs #H destruct /2 width=3 by ex1_2_intro/
-qed.
-
-(* Inversion properties with test for costrained rt-counter *****************)
-
-lemma isrt_inv_shift: âˆ€n,c. ð‘𝐓❊n,↕*câŦ â†’ ð‘𝐓❊0,câŦ âˆ§ 0 = n.
-#n #c * #ri #rs #H
-elim (shift_inv_dx â€Ķ H) -H #rt0 #rs0 #ti0 #ts0 #_ #_ #H1 #H2 #H3
-elim (max_inv_O3 â€Ķ H1) -H1 /3 width=3 by ex1_2_intro, conj/
-qed-.
-
-lemma isr_inv_shift: âˆ€c. ð‘𝐓❊0,↕*câŦ â†’ ð‘𝐓❊0,câŦ.
-#c #H elim (isrt_inv_shift â€Ķ H) -H //
-qed-.