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Theorems · Theorem · measure theory

MeasurableSpace.comap_prodMap

∀ {α : Type u_3} {β : Type u_4} {γ : Type u_5} {δ : Type u_6} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  (X : γ → α) (Y : δ → β),
  MeasurableSpace.comap (Prod.map X Y) (mα.prod mβ) = (MeasurableSpace.comap X mα).prod (MeasurableSpace.comap Y mβ)

The comap of Prod.map is the product of the comaps.

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Prod
Cited by
1 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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MeasurableEmbedding.prodMap · cited by 4MeasurableEmbedding.prodM…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_prodMapCITED BYCITES

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Cited by1

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