∀ {G : Type u_1} [inst : MeasurableSpace G] {μ : MeasureTheory.Measure G} [inst_1 : TopologicalSpace G]
  [inst_2 : AddGroup G] [IsTopologicalAddGroup G] [BorelSpace G] [μ.IsAddLeftInvariant] [μ.Regular] [NeZero μ]
  {f : G → ENNReal}, Continuous f → (∫⁻ (x : G), f x ∂μ = 0 ↔ f = 0)