+(* Advanced properties with sort-irrelevant equivalence for terms ***********)
+
+lemma fpbg_tdeq_div: ∀h,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T⦄ →
+ ∀T2. T2 ≛ T → ⦃G1, L1, T1⦄ >[h] ⦃G2, L2, T2⦄.
+/4 width=5 by fpbg_fdeq_trans, tdeq_fdeq, tdeq_sym/ qed-.
+