matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/cfpr_cfpr.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/cpr_cpr.ma".
  16 include "basic_2/reducibility/cfpr.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON CLOSURES *************************)
  19
  20 (* Main properties **********************************************************)
  21
  22 theorem cfpr_conf: ∀L. bi_confluent … (cfpr L).
  23 #L #L0 #L1 #T0 #T1 * #HL01 #HT01 #L2 #T2 * >HL01 #HL12 #HT02
  24 elim (cpr_conf … HT01 HT02) -L0 -T0 #X #H1 #H2
  25 elim (cpr_fwd_shift1 … H1) #L0 #T0 #HL10 #H destruct /3 width=5/
  26 qed.