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

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  14
  15 include "basic_2/rt_computation/cpxs_teqx.ma".
  16 include "basic_2/rt_computation/fpbs_cpxs.ma".
  17 include "basic_2/rt_computation/fpbg_fpbs.ma".
  18
  19 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
  20
  21 (* Properties with unbound context-sensitive parallel rt-computation ********)
  22
  23 (* Basic_2A1: was: cpxs_fpbg *)
  24 lemma cpxs_tneqx_fpbg (h): ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 →
  25                            (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ >[h] ❪G,L,T2❫.
  26 #h #G #L #T1 #T2 #H #H0
  27 elim (cpxs_tneqx_fwd_step_sn … H … H0) -H -H0
  28 /4 width=5 by cpxs_teqx_fpbs, fpb_cpx, ex2_3_intro/
  29 qed.
  30
  31 lemma cpxs_fpbg_trans (h): ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈*[h] T →
  32                            ∀G2,L2,T2. ❪G1,L1,T❫ >[h] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫.
  33 /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.