matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_aaa.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_transition/lfpx_aaa.ma".
  16 include "basic_2/rt_transition/lfpr_lfpx.ma".
  17
  18 (* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)
  19
  20 (* Properties with atomic arity assignment for terms ************************)
  21
  22 lemma cpr_aaa_conf: ∀h,G,L. Conf3 … (aaa G L) (cpm h G L 0).
  23 /3 width=5 by cpx_aaa_conf, cpm_fwd_cpx/ qed-.
  24
  25 (* Basic_2A1: uses: lpr_aaa_conf *)
  26 lemma lfpr_aaa_conf: ∀h,G,T. Conf3 … (λL. aaa G L T) (lfpr h G T).
  27 /3 width=4 by lfpx_aaa_conf, lfpr_fwd_lfpx/ qed-.