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

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
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  14
  15 include "static_2/static/aaa_fqus.ma".
  16 include "static_2/static/aaa_reqg.ma".
  17 include "basic_2/rt_transition/lpx_aaa.ma".
  18 include "basic_2/rt_transition/fpb_lpx.ma".
  19
  20 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
  21
  22 (* Properties with atomic arity assignment for terms ************************)
  23
  24 (* Basic_2A1: uses: fpbq_aaa_conf *)
  25 lemma fpb_aaa_conf:
  26       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ →
  27       ∀A1. ❪G1,L1❫ ⊢ T1 ⁝ A1 → ∃A2. ❪G2,L2❫ ⊢ T2 ⁝ A2.
  28 #G1 #G2 #L1 #L2 #T1 #T2 #H #A1 #HA1
  29 elim (fpb_inv_req … H) -H #L0 #L #T #H1 #HT2 #HL0 #HL02
  30 elim (aaa_fquq_conf … H1 … HA1) -G1 -L1 -T1 -A1 #A2 #HA2
  31 lapply (cpx_reqg_conf … HL0 … HT2) -HT2 // #HT2
  32 /4 width=6 by cpx_aaa_conf_lpx, aaa_reqg_conf, ex_intro/
  33 qed-.