∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : Type w) [inst_1 : CategoryTheory.Category.{w', w} J]
  [Small.{v, w} J] [CategoryTheory.Limits.HasLimitsOfShape Jᵒᵖ C],
  CategoryTheory.Limits.HasColimitsOfShape J (AlgebraicGeometry.SheafedSpace C)