matita/matita/contribs/lambdadelta/basic_2/etc/ssta1/fpbg_lift.etc

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  14
  15 include "basic_2/computation/fpbu_lift.ma".
  16 include "basic_2/computation/fpbg.ma".
  17
  18 (* GENERAL "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *********************)
  19
  20 (* Advanced properties ******************************************************)
  21
  22 lemma lsstas_fpbg: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, g, l2] T2 → (T1 = T2 → ⊥) →
  23                    ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄.
  24 /5 width=5 by fpbc_fpbg, fpbu_fpbc, lsstas_fpbu/ qed.
  25
  26 lemma ssta_fpbg: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 →
  27                  ⦃G, L⦄ ⊢ T1 •[h, g] T2 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄.
  28 /4 width=2 by fpbc_fpbg, fpbu_fpbc, ssta_fpbu/ qed.