∀ {X : AlgebraicGeometry.Scheme} {U V : X.Opens} (hUV : U ≤ V) {Z : AlgebraicGeometry.Scheme} (h : X ⟶ Z),
  CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Opens.isoOfLE hUV).hom
      (CategoryTheory.CategoryStruct.comp U.ι h) =
    CategoryTheory.CategoryStruct.comp ((TopologicalSpace.Opens.map V.ι.base).obj U).ι
      (CategoryTheory.CategoryStruct.comp V.ι h)