Theorems · Theorem · measure theory

MeasurableEmbedding.aestronglyMeasurable_map_iff

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {γ : Type u_5} {mγ : MeasurableSpace γ}
  {mα : MeasurableSpace α} {f : γ → α} {μ : MeasureTheory.Measure γ},
  MeasurableEmbedding f →
    ∀ {g : α → β},
      MeasureTheory.AEStronglyMeasurable g (MeasureTheory.Measure.map f μ) ↔
        MeasureTheory.AEStronglyMeasurable (g ∘ f) μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable

Cited by

4 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace