Theorems · Theorem · measure theory
AEMeasurable.comp_measurable
∀ {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) → Measurable f → AEMeasurable (g ∘ f) μ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- AEMeasurablestatement and proof · cited by 840
- Measurable.aemeasurableproof · cited by 304
- AEMeasurable.comp_aemeasurableproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- AEMeasurable.comp_quasiMeasurePreservingproof · cited by 17
- MeasurableEmbedding.aemeasurable_map_iffproof · cited by 3
- AEMeasurable.prod_swapproof · cited by 3
- MeasureTheory.setLIntegral_prod_symmproof · cited by 1