∀ {Ω : Type u_1} {ι : Type u_2} {L : Filter ι} [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω]
  [inst_2 : OpensMeasurableSpace Ω] [HasOuterApproxClosed Ω] {μ : MeasureTheory.ProbabilityMeasure Ω}
  {μs : ι → MeasureTheory.ProbabilityMeasure Ω},
  Filter.Tendsto μs L (nhds μ) → ∀ {E : Set Ω}, IsClopen E → Filter.Tendsto (fun i => (μs i) E) L (nhds (μ E))