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

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  14
  15 include "basic_2/rt_transition/fpbc_lpx.ma".
  16 include "basic_2/rt_computation/fpbs_lpxs.ma".
  17 include "basic_2/rt_computation/fpbg_fqup.ma".
  18
  19 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
  20
  21 (* Properties with extended rt-computation on full local environments *******)
  22
  23 (* Basic_2A1: uses: lpxs_fpbg *)
  24 lemma lpxs_rneqx_fpbg:
  25       ∀G,L1,L2,T. ❨G,L1❩ ⊢ ⬈* L2 →
  26       (L1 ≅[T] L2 → ⊥) → ❨G,L1,T❩ > ❨G,L2,T❩.
  27 #G #L1 #L2 #T #H #H0
  28 elim (lpxs_rneqg_inv_step_sn … H … H0) -H -H0
  29 /4 width=10 by fpbc_fpbs_fpbg, lpxs_feqg_fpbs, lpx_fpbc, feqg_intro_sn, sfull_dec/
  30 qed.