∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : SigmaCompactSpace α] {x : MeasurableSpace α}
  (μ : MeasureTheory.Measure α) [MeasureTheory.IsLocallyFiniteMeasure μ] (n : ℕ),
  ∃ U ⊇ compactCovering α n, IsOpen U ∧ μ U < ⊤