∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} [AlgebraicGeometry.IsZariskiLocalAtTarget P]
  {X Y : AlgebraicGeometry.Scheme} {f : X ⟶ Y}, (∀ (x : ↥Y), ∃ U, x ∈ U ∧ P (f ∣_ U)) → P f