∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C] {A B : C}
  {X Y : CategoryTheory.Subobject B} (f : A ⟶ B), (X ⊓ Y).Factors f = (X.Factors f ∧ Y.Factors f)