Theorems · Theorem · measure theory
Measurable.comp_aemeasurable
∀ {α : Type u_1} {β : Type u_2} {δ : Type u_4} {m : MeasurableSpace α} [inst : MeasurableSpace β]
{μ : MeasureTheory.Measure α} [inst_1 : MeasurableSpace δ] {f : α → δ} {g : δ → β},
Measurable g → AEMeasurable f μ → AEMeasurable (g ∘ f) μ- Cited by
- 99 results in Mathlib
- Foundations
- Depth 174 from the axioms, rests on 4,661 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AEMeasurablestatement and proof · cited by 840
- Measurable.compproof · cited by 234
- AEMeasurable.mkproof · cited by 75
- AEMeasurable.ae_eq_mkproof · cited by 65
- AEMeasurable.measurable_mkproof · cited by 62
- Filter.EventuallyEq.fun_compproof · cited by 47
Cited by99
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_eq_lintegral_of_nonneg_aeproof · cited by 31
- Measurable.comp_aemeasurable'proof · cited by 26
- AEMeasurable.sndproof · cited by 23
- AEMeasurable.fstproof · cited by 22
- AEMeasurable.ennreal_ofRealproof · cited by 12
- AEMeasurable.mulproof · cited by 12
- Real.aemeasurable_of_aemeasurable_expproof · cited by 11
- AEMeasurable.const_mulproof · cited by 10
- AEMeasurable.div_constproof · cited by 10
- MeasureTheory.Measure.fst_map_prodMk₀proof · cited by 9
- AEMeasurable.sub_constproof · cited by 9
- AEMeasurable.addproof · cited by 8