∀ {R : CommRingCat} {ι : Type u_1} (s : ι → ↑R) (hs : Ideal.span (Set.range s) = ⊤) (x : ↥(AlgebraicGeometry.Spec R)),
  (AlgebraicGeometry.Scheme.affineOpenCoverOfSpanRangeEqTop s hs).idx x =
    have this := ⋯;
    this.choose