∀ {ι : Type u_1} (R : ι → Type u_2) [inst : (i : ι) → CommSemiring (R i)] (x : Π₀ (i : ι), R i)
  (motive : (∃ a, a ∉ x.support) → Prop) (x_1 : ∃ a, a ∉ x.support),
  (∀ (i : ι) (hi : i ∉ x.support), motive ⋯) → motive x_1