∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : CategoryTheory.Functor Cᵒᵖ (Type v)}
  {F : CategoryTheory.Functor (CategoryTheory.CostructuredArrow CategoryTheory.yoneda A)ᵒᵖ (Type v)} {X : C}
  {G : CategoryTheory.Functor (CategoryTheory.CostructuredArrow CategoryTheory.yoneda A)ᵒᵖ (Type v)} (η : F ⟶ G) {Y : C}
  (f : X ⟶ Y) (p : CategoryTheory.OverPresheafAux.YonedaCollection F Y),
  CategoryTheory.OverPresheafAux.YonedaCollection.map₂ G f (CategoryTheory.OverPresheafAux.YonedaCollection.map₁ η p) =
    CategoryTheory.OverPresheafAux.YonedaCollection.map₁ η (CategoryTheory.OverPresheafAux.YonedaCollection.map₂ F f p)