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Theorems · Theorem · measure theory

MeasureTheory.Measure.measurable_measure

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : α → MeasureTheory.Measure β},
  Measurable μ ↔ ∀ (s : Set β), MeasurableSet s → Measurable fun b => (μ b) s
Defined in
Mathlib.MeasureTheory.Measure.GiryMonad
Cited by
3 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
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Measurable.measure_of_isPiSystem · cited by 2Measurable.measure_of_isP…MeasureTheory.measurable_withDensity · cited by 1MeasureTheory.measurable_…ProbabilityTheory.Kernel.measurable_trajFun · cited by 0Kernel.measurable_trajFunDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasurableSet · cited by 3075MeasurableSetMeasurable · cited by 1499MeasurableMeasurable.comp · cited by 234Measurable.compMeasureTheory.Measure.measurable_coe · cited by 14Measure.measurable_coeMeasureTheory.Measure.measurable_of_measurable_coe · cited by 9Measure.measurable_of_mea…Measure.measurable_measureCITED BYCITES

Cites10

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Cited by3

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