matita/matita/contribs/lambdadelta/ground/counters/rtc_max_shift.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "ground/counters/rtc_shift.ma".
  16 include "ground/counters/rtc_max.ma".
  17
  18 (* MAXIMUM FOR RT-TRANSITION COUNTERS ***************************************)
  19
  20 (* Constructions with rtc_shift *********************************************)
  21
  22 lemma rtc_max_shift (c1) (c2): ((↕*c1) ∨ (↕*c2)) = ↕*(c1∨c2).
  23 * #ri1 #rs1 #ti1 #ts1 * #ri2 #rs2 #ti2 #ts2
  24 <rtc_shift_rew <rtc_shift_rew <rtc_shift_rew <rtc_max_rew
  25 <nmax_assoc <nmax_assoc <nmax_assoc <nmax_assoc //
  26 qed.