∀ (X : AlgebraicGeometry.Scheme) {U : X.Opens} (x : ↥X) (motive : (∃ x_1, x ∈ X.basicOpen x_1) → Prop)
  (x_1 : ∃ x_1, x ∈ X.basicOpen x_1),
  (∀ (f : ↑(X.presheaf.obj (Opposite.op U))) (hf : x ∈ X.basicOpen f), motive ⋯) → motive x_1