Theorems · Theorem · measure theory
AEMeasurable.pow
∀ {β : Type u_2} {γ : Type u_3} {α : Type u_4} [inst : MeasurableSpace β] [inst_1 : MeasurableSpace γ]
[inst_2 : Pow β γ] [MeasurablePow β γ] {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → β} {g : α → γ},
AEMeasurable f μ → AEMeasurable g μ → AEMeasurable (fun x => f x ^ g x) μ- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 175 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
- AEMeasurablestatement and proof · cited by 840
- Measurable.comp_aemeasurableproof · cited by 99
- AEMeasurable.prodMkproof · cited by 54
- MeasurablePowstatement and proof · cited by 9
- MeasurablePow.measurable_powproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- AEMeasurable.pow_constproof · cited by 27
- MeasureTheory.lintegral_rpow_eq_lintegral_meas_le_mulproof · cited by 1
- MeasureTheory.integral_mul_norm_le_Lp_mul_Lqproof · cited by 1
- AEMeasurable.const_powproof · cited by 0