∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {s t : Set E} {f : E → F}
  {n : WithTop ℕ∞} (motive : ContDiffOn 𝕜 n f s ∧ ContDiffOn 𝕜 n f t → Prop)
  (x : ContDiffOn 𝕜 n f s ∧ ContDiffOn 𝕜 n f t),
  (∀ (hfs : ContDiffOn 𝕜 n f s) (hft : ContDiffOn 𝕜 n f t), motive ⋯) → motive x