matita/matita/contribs/lambdadelta/basic_2/etc/fpr/fpr_fpr.etc

   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 "basic_2/reducibility/tpr_tpr.ma".
  16 include "basic_2/reducibility/fpr.ma".
  17
  18 (* CONTEXT-FREE PARALLEL REDUCTION ON CLOSURES ******************************)
  19
  20 (* Main properties **********************************************************)
  21
  22 theorem fpr_conf: bi_confluent … fpr.
  23 #L0 #L1 #T0 #T1 * #HL01 #HT01 #L2 #T2 * >HL01 #HL12 #HT02
  24 elim (tpr_conf … HT01 HT02) -L0 -T0 #X #H1 #H2
  25 elim (tpr_fwd_shift1 … H1) #L #T #HL1 #H destruct /3 width=5/
  26 qed.