{P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} →
  {X : AlgebraicGeometry.Scheme} →
    (𝒰 : AlgebraicGeometry.Scheme.Cover (AlgebraicGeometry.Scheme.precoverage P) X) →
      [CategoryTheory.Category.{v_1, u_1} 𝒰.I₀] → Type (max (max u u_1) v_1)