∀ {α : Type u_1} {ι : Type u_2} {E : Type u_4} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : EDist E]
  [MeasureTheory.IsFiniteMeasure μ] {f : ι → α → E} {l : Filter ι} {g : α → E},
  MeasureTheory.TendstoInMeasure μ f l g ↔
    ∀ (ε : ENNReal), 0 < ε → Filter.Tendsto (fun i => (μ {x | ε ≤ edist (f i x) (g x)}).toNNReal) l (nhds 0)