matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_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_ism_shift.ma".
  16 include "ground/counters/rtc_ism_max.ma".
  17
  18 (* T-BOUND RT-TRANSITION COUNTERS *******************************************)
  19
  20 (* Inversions with rtc_max and rtc_shift ************************************)
  21
  22 lemma rtc_ism_inv_max_shift_sn (n) (c1) (c2): 𝐌❪n,↕*c1 ∨ c2❫ →
  23       ∧∧ 𝐌❪𝟎,c1❫ & 𝐌❪n,c2❫.
  24 #n #c1 #c2 #H
  25 elim (rtc_ism_inv_max … H) -H #n1 #n2 #Hc1 #Hc2 #H destruct
  26 elim (rtc_ism_inv_shift … Hc1) -Hc1 #Hc1 * -n1 <nmax_zero_sn
  27 /2 width=1 by conj/
  28 qed-.