matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lfxs.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/cpx_lfxs.ma".
  16 include "basic_2/rt_transition/cpm_cpx.ma".
  17 include "basic_2/rt_transition/cpr_ext.ma".
  18
  19 (* CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS ***************************)
  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-.
  28
  29 (* Properties with generic extension on referred entries ********************)
  30
  31 (* Basic_2A1: was just: cpr_llpx_sn_conf *)
  32 lemma cpm_lfxs_conf: ∀R,n,h,G. s_r_confluent1 … (cpm n h G) (lfxs R).
  33 /3 width=5 by cpm_fwd_cpx, cpx_lfxs_conf/ qed-.