∀ {α : Type u_1} {β : Type u_2} {ι : Type u_4} [inst : TopologicalSpace α] [inst_1 : UniformSpace β] {F : ι → α → β}
  {f : α → β} {s : Set α} {p : Filter ι} {G : ι → α → β},
  TendstoLocallyUniformlyOn F f p s → (∀ (n : ι), Set.EqOn (F n) (G n) s) → TendstoLocallyUniformlyOn G f p s