∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_3, u_2} C] [inst_1 : CategoryTheory.IsCofiltered C]
  [inst_2 : CategoryTheory.LocallySmall.{u_1, u_3, u_2} C] [inst_3 : CategoryTheory.InitiallySmall C],
  ∃ x, ∃ (_ : CategoryTheory.IsCofiltered ⋯.choose), ∃ F, F.Initial