∀ {ι : Type u_1} {α : Type u_2} {G : Type u_3} [inst : Preorder ι] [inst_1 : TopologicalSpace α]
  [inst_2 : NormedAddCommGroup G] [inst_3 : Lattice G] [HasSolidNorm G] [IsOrderedAddMonoid G] {F : ι → α → G}
  {f : α → G} {s : Set α},
  (∀ (i : ι), ContinuousOn (F i) s) →
    (∀ x ∈ s, Monotone fun x_1 => F x_1 x) →
      ContinuousOn f s →
        (∀ x ∈ s, Filter.Tendsto (fun x_1 => F x_1 x) Filter.atTop (nhds (f x))) →
          TendstoLocallyUniformlyOn F f Filter.atTop s