(* Advanced properties ******************************************************)
+(* Notes: this replaces lemma 1400 concluding the "big tree" theorem *)
lemma frees_total: ∀L,T. ∃f. L ⊢ 𝐅*⦃T⦄ ≡ f.
@(f2_ind … rfw) #n #IH #L *
[ cases L -L /3 width=2 by frees_atom, ex_intro/