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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/reduction/cpx_lift.ma".
16 include "basic_2/reduction/fpb.ma".
18 (* "BIG TREE" PARALLEL REDUCTION FOR CLOSURES *******************************)
20 (* Advanced properties ******************************************************)
22 lemma ssta_fpb: ∀h,g,G,L,T1,T2,l.
23 ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 → ⦃G, L⦄ ⊢ T1 •[h, g] T2 →
24 ⦃G, L, T1⦄ ≽[h, g] ⦃G, L, T2⦄.
25 /3 width=5 by fpb_cpx, ssta_cpx/ qed.