matita/matita/contribs/lambdadelta/static_2/static/req_fsle.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 include "static_2/static/rex_length.ma".
  16 include "static_2/static/rex_fsle.ma".
  17 include "static_2/static/req.ma".
  18
  19 (* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
  20
  21 (* Properties with free variables inclusion for restricted closures *********)
  22
  23 lemma req_fsle_comp: rex_fsle_compatible ceq.
  24 #L1 #L2 #T #HL12
  25 elim (frees_total L1 T)
  26 /4 width=8 by frees_req_conf, rex_fwd_length, lveq_length_eq, sle_refl, ex4_4_intro/
  27 qed.
  28
  29 (* Forward lemmas with free variables inclusion for restricted closures *****)
  30
  31 lemma req_rex_trans: ∀R. req_transitive R →
  32                      ∀L1,L,T. L1 ≡[T] L → ∀L2. L ⪤[R, T] L2 → L1 ⪤[R, T] L2.
  33 /4 width=16 by req_fsle_comp, rex_trans_fsle, rex_trans_next/ qed-.