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Theorems · Theorem · measure theory

MeasurableSpace.comap_prodMk

∀ {α : Type u_3} {β : Type u_4} {γ : Type u_5} {mβ : MeasurableSpace β} {mγ : MeasurableSpace γ} (X : α → β)
  (Y : α → γ),
  MeasurableSpace.comap (fun ω => (X ω, Y ω)) (mβ.prod mγ) = MeasurableSpace.comap X mβ ⊔ MeasurableSpace.comap Y mγ

The comap of a product is the supremum of the comaps.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Prod
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Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasurableSpace · cited by 13106MeasurableSpaceMeasurableSpace.comap · cited by 124MeasurableSpace.comapMeasurableSpace.prod · cited by 15MeasurableSpace.prodMeasurableSpace.comap_comp · cited by 10MeasurableSpace.comap_compMeasurableSpace.comap_sup · cited by 2MeasurableSpace.comap_supMeasurableSpace.comap_prodMkCITED BYCITES

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