matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_frees.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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_frees.ma".
  16 include "basic_2/rt_transition/cpm_cpx.ma".
  17 include "basic_2/rt_transition/cpr_ext.ma".
  18
  19 (* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)
  20
  21 (* Properties with context-sensitive free variables *************************)
  22
  23 lemma cpm_frees_conf: ∀n,h,G. R_frees_confluent (cpm n h G).
  24 /3 width=6 by cpm_fwd_cpx, cpx_frees_conf/ qed-.
  25
  26 lemma lfpr_frees_conf: ∀h,G. lexs_frees_confluent (cpr_ext h G) cfull.
  27 /5 width=9 by cpm_fwd_cpx, lfpx_frees_conf, lexs_co, cext2_co/ qed-.