matita/matita/contribs/lambdadelta/basic_2/rt_conversion/cpc_cpc.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 "basic_2/rt_conversion/cpc.ma".
  16
  17 (* CONTEXT-SENSITIVE PARALLEL R-CONVERSION FOR TERMS ************************)
  18
  19 (* Main properties **********************************************************)
  20
  21 theorem cpc_conf: ∀h,G,L,T0,T1,T2. ❪G,L❫ ⊢ T0 ⬌[h] T1 → ❪G,L❫ ⊢ T0 ⬌[h] T2 →
  22                   ∃∃T. ❪G,L❫ ⊢ T1 ⬌[h] T & ❪G,L❫ ⊢ T2 ⬌[h] T.
  23 /3 width=3 by cpc_sym, ex2_intro/ qed-.