∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C]
  (x x_1 : CategoryTheory.Pretopology C) (x_2 : C),
  ∀
    x_3 ∈
      { coverings := fun X => x.coverings X ∩ x_1.coverings X, has_isos := ⋯, pullbacks := ⋯,
            transitive := ⋯ }.coverings
        x_2,
    x_3 ∈ x.coverings x_2