Theorems · Theorem · measure theory

MeasureTheory.Measure.AbsolutelyContinuous.prod

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ μ' : MeasureTheory.Measure α}
  {ν ν' : MeasureTheory.Measure β} [MeasureTheory.SFinite ν'],
  μ.AbsolutelyContinuous μ' → ν.AbsolutelyContinuous ν' → (μ.prod ν).AbsolutelyContinuous (μ'.prod ν')

Defined in

Mathlib.MeasureTheory.Measure.Prod

Cited by

3 results in Mathlib

Foundations

Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpaceMeasureTheory.SFinite