{J : Type u'} →
  [inst : CategoryTheory.Category.{v', u'} J] →
    {C : Type u} →
      [inst_1 : CategoryTheory.Category.{v, u} C] →
        [CategoryTheory.Limits.HasColimitsOfShape J TopCat] →
          [∀ (X : TopCat), CategoryTheory.Limits.HasLimitsOfShape Jᵒᵖ (TopCat.Presheaf C X)] →
            (F : CategoryTheory.Functor J (AlgebraicGeometry.PresheafedSpace C)) → CategoryTheory.Limits.Cocone F