∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β} {s : Set α}
  {x : α} {t : Set β}, ContinuousWithinAt f s x → t ∈ nhds (f x) → f ⁻¹' t ∈ nhdsWithin x s