Theorems · Theorem · measure theory

AEMeasurable.comp_aemeasurable

∀ {α : Type u_2} {β : Type u_3} {δ : Type u_5} {m0 : MeasurableSpace α} [inst : MeasurableSpace β]
  [inst_1 : MeasurableSpace δ] {μ : MeasureTheory.Measure α} {f : α → δ} {g : δ → β},
  AEMeasurable g (MeasureTheory.Measure.map f μ) → AEMeasurable f μ → AEMeasurable (g ∘ f) μ

Defined in

Mathlib.MeasureTheory.Measure.AEMeasurable

Cited by

9 results in Mathlib

Foundations

Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceMeasurableSpace