∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) {U : Y.Opens},
  AlgebraicGeometry.IsAffineOpen ((TopologicalSpace.Opens.map f.base).obj U) →
    ∀ (r : ↑(Y.presheaf.obj (Opposite.op U))),
      IsLocalization.Away ((CategoryTheory.ConcreteCategory.hom (AlgebraicGeometry.Scheme.Hom.app f U)) r)
        ↑(X.presheaf.obj
            (Opposite.op
              (X.basicOpen ((CategoryTheory.ConcreteCategory.hom (AlgebraicGeometry.Scheme.Hom.app f U)) r))))