∀ {α : Type u_1} {E : Type u_4} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : PseudoEMetricSpace E]
  [MeasureTheory.IsFiniteMeasure μ] {f : ℕ → α → E},
  (∀ (n : ℕ), MeasureTheory.AEStronglyMeasurable (f n) μ) →
    ∀ {g : α → E},
      MeasureTheory.TendstoInMeasure μ f Filter.atTop g ↔
        ∀ (ns : ℕ → ℕ),
          StrictMono ns →
            ∃ ns', StrictMono ns' ∧ ∀ᵐ (ω : α) ∂μ, Filter.Tendsto (fun i => f (ns (ns' i)) ω) Filter.atTop (nhds (g ω))