∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → Set β} {x : α},
  UpperHemicontinuousAt f x ↔ ∀ t ∈ nhdsSet (f x), ∀ᶠ (x' : α) in nhds x, t ∈ nhdsSet (f x')