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

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  14
  15 include "basic_2/rt_transition/fpbc_fqup.ma".
  16 include "basic_2/rt_computation/cpxs_teqg.ma".
  17 include "basic_2/rt_computation/fpbs_cpxs.ma".
  18 include "basic_2/rt_computation/fpbg_fqup.ma".
  19 include "basic_2/rt_computation/fpbg_fpbs.ma".
  20
  21 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
  22
  23 (* Properties with extended context-sensitive parallel rt-computation *******)
  24
  25 (* Basic_2A1: was: cpxs_fpbg *)
  26 lemma cpxs_tneqx_fpbg:
  27       ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈* T2 →
  28       (T1 ≅ T2 → ⊥) → ❪G,L,T1❫ > ❪G,L,T2❫.
  29 #G #L #T1 #T2 #H #H0
  30 elim (cpxs_tneqg_fwd_step_sn … H … H0) -H -H0
  31 /4 width=5 by fpbc_fpbs_fpbg, cpxs_fpbs, cpx_fpbc, sfull_dec/
  32 qed.
  33
  34 lemma cpxs_fpbg_trans:
  35       ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈* T →
  36       ∀G2,L2,T2. ❪G1,L1,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
  37 /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.