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update in ground_2, static_2, basic_2
[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc_isrt_max_shift.ma
diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_isrt_max_shift.ma b/matita/matita/contribs/lambdadelta/ground_2/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_2/steps/rtc_isrt_shift.ma".
+include "ground_2/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-.