matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_aaa.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/fpb_aaa.ma".
  16 include "basic_2/rt_computation/fpbs_fqup.ma".
  17
  18 (* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
  19
  20 (* Properties with atomic arity assignment for terms ************************)
  21
  22 lemma fpbs_aaa_conf:
  23       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫ →
  24       ∀A1. ❪G1,L1❫ ⊢ T1 ⁝ A1 → ∃A2. ❪G2,L2❫ ⊢ T2 ⁝ A2.
  25 #G1 #G2 #L1 #L2 #T1 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
  26 [ /2 width=2 by ex_intro/
  27 | #G #G2 #L #L2 #T #T2 #_ #H2 #IH1 #A #HA elim (IH1 … HA) -IH1 -A
  28   /2 width=8 by fpb_aaa_conf/
  29 ]
  30 qed-.