∀ {A : Type u₁} {B : Type u₂} {C : Type u₃} [inst : CategoryTheory.Category.{v₁, u₁} A]
  [inst_1 : CategoryTheory.Category.{v₂, u₂} B] [inst_2 : CategoryTheory.Category.{v₃, u₃} C]
  (F : CategoryTheory.Functor A B) (G : CategoryTheory.Functor C B) (X : Type u₄)
  [inst_3 : CategoryTheory.Category.{v₄, u₄} X]
  (J : CategoryTheory.Functor X (CategoryTheory.Limits.CategoricalPullback F G)) {X_1 Y : X} (f : X_1 ⟶ Y),
  ((CategoryTheory.Limits.CategoricalPullback.toCatCommSqOver F G X).obj J).snd.map f = (J.map f).snd