∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) {x : ↥X} (U : Y.Opens) (hU : AlgebraicGeometry.IsAffineOpen U)
  (V : X.Opens) (hVU : V ≤ (TopologicalSpace.Opens.map f.base).obj U) (hx : x ∈ V),
  IsLocalization (hU.primeIdealOf ⟨f x, ⋯⟩).asIdeal.primeCompl
    (Localization (hU.primeIdealOf ⟨f x, ⋯⟩).asIdeal.primeCompl)