∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [CategoryTheory.Limits.HasColimits C] {X Y : TopCat}
  (f : X ⟶ Y) (F : TopCat.Presheaf C Y) (Y_1 : (TopologicalSpace.Opens ↑X)ᵒᵖ),
  CategoryTheory.Limits.HasColimit
    ((CategoryTheory.CostructuredArrow.proj (TopologicalSpace.Opens.map f).op Y_1).comp F)