matita/matita/contribs/lambdadelta/basic_2/reduction/fpb_aaa.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/static/aaa_fqus.ma".
  16 include "basic_2/static/aaa_lleq.ma".
  17 include "basic_2/reduction/lpx_aaa.ma".
  18 include "basic_2/reduction/fpb.ma".
  19
  20 (* "BIG TREE" PARALLEL REDUCTION FOR CLOSURES *******************************)
  21
  22 (* Properties on atomic arity assignment for terms **************************)
  23
  24 lemma aaa_fpb_conf: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h, g] ⦃G2, L2, T2⦄ →
  25                     ∀A1. ⦃G1, L1⦄ ⊢ T1 ⁝ A1 → ∃A2. ⦃G2, L2⦄ ⊢ T2 ⁝ A2.
  26 #h #g #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
  27 /3 width=6 by aaa_lleq_conf, aaa_lpx_conf, aaa_cpx_conf, aaa_fquq_conf, ex_intro/
  28 qed-.