∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace α] [R1Space α],
  μ.InnerRegularWRT (fun s => IsCompact s ∧ IsClosed s) IsClosed ↔ μ.InnerRegularWRT (IsCompact ∘ closure) IsClosed