∀ {α : Type u_1} {β : Type u_2} {𝔖 : Set (Set α)} [inst : Finite ↑𝔖] [inst_1 : PseudoMetricSpace β] [BoundedSpace β]
  (f g : UniformOnFun α β 𝔖),
  edist f g = ENNReal.ofReal ((fun f g => ⨆ x, dist ((UniformOnFun.toFun 𝔖) f ↑x) ((UniformOnFun.toFun 𝔖) g ↑x)) f g)