∀ {J : Type u'} [inst : CategoryTheory.Category.{v', u'} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  [inst_2 : CategoryTheory.Limits.HasColimitsOfShape J TopCat]
  [inst_3 : ∀ (X : TopCat), CategoryTheory.Limits.HasLimitsOfShape Jᵒᵖ (TopCat.Presheaf C X)]
  (F : CategoryTheory.Functor J (AlgebraicGeometry.PresheafedSpace C)),
  (AlgebraicGeometry.PresheafedSpace.colimit F).presheaf =
    CategoryTheory.Limits.limit (AlgebraicGeometry.PresheafedSpace.pushforwardDiagramToColimit F).leftOp