matita/matita/contribs/lambdadelta/basic_2A/etc/fpr/fprs_aaa.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/cfpr_aaa.ma".
  16 include "basic_2/computation/fprs.ma".
  17
  18 (* CONTEXT-FREE PARALLEL COMPUTATION ON CLOSURES ****************************)
  19
  20 (* Properties about atomic arity assignment on terms ************************)
  21
  22 lemma aaa_fprs_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A →
  23                      ∀L2,T2. ⦃L1, T1⦄ ➡* ⦃L2, T2⦄ → L2 ⊢ T2 ⁝ A.
  24 #L1 #T1 #A #HT1 #L2 #T2 #HLT12
  25 @(bi_TC_Conf3 … HT1 ?? HLT12) /2 width=4/
  26 qed.