∀ (R : Type u_1) [inst : CommSemiring R] (x : (Ideal R)ᵒᵈ) (motive : ↑↑(OrderDual.ofDual x) → Prop)
  (x_1 : ↑↑(OrderDual.ofDual x)), (∀ (val : R) (ha : val ∈ ↑(OrderDual.ofDual x)), motive ⟨val, ha⟩) → motive x_1