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[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc_max_shift.ma
diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max_shift.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_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_shift.ma".
+include "ground_2/steps/rtc_max.ma".
+
+(* RT-TRANSITION COUNTER ****************************************************)
+
+(* Properties with max and shift ********************************************)
+
+lemma max_shift: ∀c1,c2. ((↕*c1) ∨ (↕*c2)) = ↕*(c1∨c2).
+* #ri1 #rs1 #ti1 #ts1 * #ri2 #rs2 #ti2 #ts2
+<shift_rew <shift_rew <shift_rew <max_rew //
+qed.