∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] (x x_1 x_2 : CategoryTheory.Coverage C),
  x.coverings ≤ x_1.coverings → x_1.coverings ≤ x_2.coverings → ∀ (X : C), x.coverings X ≤ x_2.coverings X