theorem fpbs_trans: ∀h,g. tri_transitive … (fpbs h g).
/2 width=5 by tri_TC_transitive/ qed-.
-
-(* Advanced properties ******************************************************)
-
-lemma cpr_llpr_ssta_fpbs: ∀h,g,G,L1,L2,T1,T2,U2,l2.
- ⦃G, L1⦄ ⊢ T1 ➡ T2 → ⦃G, L1⦄ ⊢ ➡[T2, 0] L2 →
- ⦃G, L2⦄ ⊢ T2 ▪[h, g] l2+1 → ⦃G, L2⦄ ⊢ T2 •[h, g] U2 →
- ⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, U2⦄.
-/3 width=5 by fpbs_trans, cpr_llpr_fpbs, ssta_fpbs/ qed.