matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqus.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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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/s_computation/fqus_fqup.ma".
  16 include "basic_2/rt_transition/fpbc_fqup.ma".
  17 include "basic_2/rt_computation/fpbs_fqus.ma".
  18 include "basic_2/rt_computation/fpbg_fqup.ma".
  19 include "basic_2/rt_computation/fpbg_fpbs.ma".
  20
  21 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
  22
  23 (* Properties with plus-iterated structural successor for closures **********)
  24
  25 (* Note: this is used in the closure proof *)
  26 lemma fqup_fpbg:
  27       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
  28 #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H
  29 /3 width=5 by fpbc_fpbs_fpbg, fqus_fpbs, fqu_fpbc/
  30 qed.
  31
  32 (* Note: this is used in the closure proof *)
  33 lemma fqup_fpbg_trans (G) (L) (T):
  34       ∀G1,L1,T1. ❪G1,L1,T1❫ ⬂+ ❪G,L,T❫ →
  35       ∀G2,L2,T2. ❪G,L,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
  36 /3 width=5 by fpbs_fpbg_trans, fqup_fpbs/ qed-.