∀ {L : Type u_1} {X : Type u_2} [inst : TopologicalSpace L] [inst_1 : TopologicalSpace X] [inst_2 : Max L]
  [ContinuousSup L] {f g : X → L} {s : Set X}, ContinuousOn f s → ContinuousOn g s → ContinuousOn (f ⊔ g) s