import HighDimProb.ProbabilitySpace namespace HighDimProb open MeasureTheory example {Ω : Type*} [MeasurableSpace Ω] (s : Event Ω) : IsMeasurableEvent s ↔ MeasurableSet s := Iff.rfl example {Ω : Type*} [MeasurableSpace Ω] {P : Measure Ω} [IsProbabilityMeasure P] : IsProbability P := inferInstance end HighDimProb