∀ (α : Type u_1) (motive : (⨅ r, Ordinal.type ↑r ∈ Set.range fun r => Ordinal.type ↑r) → Prop)
  (x : ⨅ r, Ordinal.type ↑r ∈ Set.range fun r => Ordinal.type ↑r),
  (∀ (r : { r // IsWellOrder α r }) (wo : (fun r => Ordinal.type ↑r) r = ⨅ r, Ordinal.type ↑r), motive ⋯) → motive x