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propagating the arithmetics library, partial commit
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diff --git a/matita/matita/contribs/lambdadelta/ground/steps/rtc_isrt_max_shift.ma b/matita/matita/contribs/lambdadelta/ground/steps/rtc_isrt_max_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/steps/rtc_isrt_shift.ma".
-include "ground/steps/rtc_isrt_max.ma".
-
-(* RT-TRANSITION COUNTER ****************************************************)
-
-(* Inversion properties with test for constrained rt-transition counter *****)
-
-lemma isrt_inv_max_shift_sn: โˆ€n,c1,c2. ๐‘๐“โชn,โ†•*c1 โˆจ c2โซ โ†’
-                             โˆงโˆง ๐‘๐“โช0,c1โซ & ๐‘๐“โชn,c2โซ.
-#n #c1 #c2 #H
-elim (isrt_inv_max โ€ฆ H) -H #n1 #n2 #Hc1 #Hc2 #H destruct
-elim (isrt_inv_shift โ€ฆ Hc1) -Hc1 #Hc1 * -n1
-/2 width=1 by conj/
-qed-.