∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C)
  [CategoryTheory.LocallySmall.{w, v, u} C] [CategoryTheory.ObjectProperty.EssentiallySmall.{w, v, u} P],
  CategoryTheory.EssentiallySmall.{w, v, u} P.FullSubcategory