Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.map_snd_prod
∀ {α : Type u_1} [inst : MeasurableSpace α] {β : Type u_2} [inst_1 : MeasurableSpace β]
(μ : MeasureTheory.ProbabilityMeasure α) (ν : MeasureTheory.ProbabilityMeasure β), (μ.prod ν).map ⋯ = νThe second marginal of a product probability measure is the second probability measure.
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- Foundations
- Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound
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- MeasureTheory.ProbabilityMeasure.toMeasurestatement and proof · cited by 78
- MeasureTheory.ProbabilityMeasure.mapstatement · cited by 12
- MeasureTheory.Measure.map_snd_prodproof · cited by 11
- MeasureTheory.ProbabilityMeasure.prodstatement · cited by 9
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