∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [inst_2 : IsTopologicalGroup G]
  [inst_3 : MeasurableSpace G] [inst_4 : BorelSpace G] [SecondCountableTopology G]
  (K₀ : TopologicalSpace.PositiveCompacts G) (μ : MeasureTheory.Measure G) [MeasureTheory.SigmaFinite μ]
  [μ.IsMulLeftInvariant], MeasureTheory.Measure.haarMeasure K₀ = μ ↔ μ ↑K₀ = 1