∀ {R : Type u_1} {T : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring T] [inst_2 : Algebra R T]
  (motive : (∃ r, IsLocalization.Away r T) → Prop) (x : ∃ r, IsLocalization.Away r T),
  (∀ (r : R) (h : IsLocalization.Away r T), motive ⋯) → motive x