matita/matita/contribs/lambdadelta/basic_2/etc_2A1/fpr/fpc_fpc.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/conversion/fpc.ma".
  16
  17 (* CONTEXT-FREE PARALLEL CONVERSION ON CLOSURES *****************************)
  18
  19 (* Main properties **********************************************************)
  20
  21 theorem fpc_conf: ∀L0,L1,T0,T1. ⦃L0, T0⦄ ⬌ ⦃L1, T1⦄ →
  22                   ∀L2,T2. ⦃L0, T0⦄ ⬌ ⦃L2, T2⦄ →
  23                   ∃∃L,T. ⦃L1, T1⦄ ⬌ ⦃L, T⦄ & ⦃L2, T2⦄ ⬌ ⦃L, T⦄.
  24 /3 width=4/ qed.