Theorems · Theorem · measure theory

MeasureTheory.AEStronglyMeasurable.comp_measurePreserving

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {g : α → β} {γ : Type u_4} {x : MeasurableSpace γ}
  {x_1 : MeasurableSpace α} {f : γ → α} {μ : MeasureTheory.Measure γ} {ν : MeasureTheory.Measure α},
  MeasureTheory.AEStronglyMeasurable g ν →
    MeasureTheory.MeasurePreserving f μ ν → MeasureTheory.AEStronglyMeasurable (g ∘ f) μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas

Cited by

2 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace