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Theorems · Theorem · measure theory

MeasureTheory.Measure.snd_map_prodMk

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β]
  [inst_2 : MeasurableSpace γ] {X : α → β} {Y : α → γ} {μ : MeasureTheory.Measure α},
  Measurable X → (MeasureTheory.Measure.map (fun a => (X a, Y a)) μ).snd = MeasureTheory.Measure.map Y μ
Defined in
Mathlib.MeasureTheory.Measure.Prod
Cited by
1 results in Mathlib
Foundations
Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpaceMeasurableSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.condExpKernel_comp_trim · cited by 4ProbabilityTheory.condExp…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasurable · cited by 1499MeasurableMeasureTheory.Measure.map · cited by 858Measure.mapMeasurable.aemeasurable · cited by 304Measurable.aemeasurableMeasureTheory.Measure.snd · cited by 21Measure.sndMeasureTheory.Measure.snd_map_prodMk₀ · cited by 3Measure.snd_map_prodMk₀Measure.snd_map_prodMkCITED BYCITES

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Cited by1

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