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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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/rpx_fsle.ma".
  16 include "basic_2/rt_transition/cpm_cpx.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS ***************************)
  19
  20 (* Forward lemmas with free variables inclusion for restricted closures *****)
  21
  22 lemma cpm_fsge_comp (h) (n) (G):
  23       R_fsge_compatible (λL. cpm h G L n).
  24 /3 width=6 by cpm_fwd_cpx, cpx_fsge_comp/ qed-.
  25
  26 lemma rpr_fsge_comp (h) (G):
  27       rex_fsge_compatible (λL. cpm h G L 0).
  28 /4 width=5 by cpm_fwd_cpx, rpx_fsge_comp, rex_co/ qed-.
  29
  30 (* Properties with generic extension on referred entries ********************)
  31
  32 (* Basic_2A1: was just: cpr_llpx_sn_conf *)
  33 lemma cpm_rex_conf_sn (R) (h) (n) (G):
  34       s_r_confluent1 … (λL. cpm h G L n) (rex R).
  35 /3 width=5 by cpm_fwd_cpx, cpx_rex_conf_sn/ qed-.