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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2/static/ssta_ssta.ma".
16 include "basic_2/reduction/cpx_lift.ma".
17 include "basic_2/reduction/fpbc.ma".
19 (* "BIG TREE" PROPER PARALLEL REDUCTION FOR CLOSURES ************************)
21 (* Advanced properties ******************************************************)
23 lemma ssta_fpbc: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 →
24 ⦃G, L⦄ ⊢ T1 •[h, g] T2 → ⦃G, L, T1⦄ ≻[h, g] ⦃G, L, T2⦄.
25 #h #g #G #L #T1 #T2 #l #HT1 #HT12 elim (eq_term_dec T1 T2)
26 /3 width=5 by fpbc_cpx, ssta_cpx/ #H destruct
27 elim (ssta_inv_refl_pos … HT1 … HT12)