{S : AlgebraicGeometry.Scheme} →
  (𝒰 : S.OpenCover) →
    [inst : CategoryTheory.Category.{u_2, u_1} 𝒰.I₀] →
      [AlgebraicGeometry.Scheme.Cover.LocallyDirected 𝒰] → Type (max (max (u + 1) u_1) u_2)