∀ {G : Type u_1} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G]
  {K₀ : TopologicalSpace.PositiveCompacts G} {U : Set G} (K₁ K₂ : TopologicalSpace.Compacts G),
  (interior U).Nonempty →
    MeasureTheory.Measure.haar.prehaar (↑K₀) U (K₁ ⊔ K₂) ≤
      MeasureTheory.Measure.haar.prehaar (↑K₀) U K₁ + MeasureTheory.Measure.haar.prehaar (↑K₀) U K₂