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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   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 "static_2/static/aaa_fqus.ma".
  16 include "static_2/static/aaa_feqx.ma".
  17 include "basic_2/rt_transition/lpx_aaa.ma".
  18 include "basic_2/rt_transition/fpbq.ma".
  19
  20 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
  21
  22 (* Properties with atomic arity assignment for terms ************************)
  23
  24 lemma fpbq_aaa_conf:
  25       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ →
  26       ∀A1. ❪G1,L1❫ ⊢ T1 ⁝ A1 → ∃A2. ❪G2,L2❫ ⊢ T2 ⁝ A2.
  27 #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2
  28 /3 width=8 by lpx_aaa_conf, cpx_aaa_conf, aaa_feqx_conf, aaa_fquq_conf, ex_intro/
  29 qed-.