∀ {X : Type u_1} [inst : TopologicalSpace X] {s₂ t₂ : Set X} (motive : SeparatedNhds s₂ t₂ → Prop)
  (h : SeparatedNhds s₂ t₂),
  (∀ (U V : Set X) (hU : IsOpen U) (hV : IsOpen V) (hsU : s₂ ⊆ U) (htV : t₂ ⊆ V) (hd : Disjoint U V), motive ⋯) →
    motive h