∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace α] {ι : Type u_4} [inst_1 : PseudoMetricSpace β] (b : ℝ → ℝ),
  Filter.Tendsto b (nhds 0) (nhds 0) →
    ∀ (F : ι → β → α), (∀ (x y : β) (i : ι), dist (F i x) (F i y) ≤ b (dist x y)) → UniformEquicontinuous F