∀ (X : AlgebraicGeometry.LocallyRingedSpace) {U : TopologicalSpace.Opens ↑X.toTopCat} (x : ↥U)
  (f : ↑(X.presheaf.obj (Opposite.op U))),
  (CategoryTheory.ConcreteCategory.hom (X.evaluation x)) f = 0 ↔ ↑x ∉ X.toRingedSpace.basicOpen f