Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.prodMk
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : TopologicalSpace β] [inst_1 : TopologicalSpace γ]
{m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → β} {g : α → γ},
MeasureTheory.AEStronglyMeasurable f μ →
MeasureTheory.AEStronglyMeasurable g μ → MeasureTheory.AEStronglyMeasurable (fun x => (f x, g x)) μ- Cited by
- 18 results in Mathlib
- Foundations
- Depth 174 from the axioms · 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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- MeasureTheory.StronglyMeasurable.prodMkproof · cited by 11
- Filter.EventuallyEq.prodMkproof · cited by 4
Cited by18
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.smulproof · cited by 14
- MeasureTheory.AEEqFun.coeFn_comp₂proof · cited by 6
- MeasureTheory.AEStronglyMeasurable.innerproof · cited by 6
- MeasureTheory.Integrable.prodMkproof · cited by 5
- Continuous.comp_aestronglyMeasurable₂proof · cited by 5
- MeasureTheory.AEEqFun.pair_eq_mkstatement · cited by 3
- VectorFourier.integral_fourierIntegral_swapproof · cited by 2
- MeasureTheory.AEStronglyMeasurable.fourierSMulRightproof · cited by 2
- MeasureTheory.AEStronglyMeasurable.vaddproof · cited by 1
- MeasureTheory.AEStronglyMeasurable.edistproof · cited by 1
- MeasureTheory.AEEqFun.comp₂Measurable_eq_mkproof · cited by 1
- MeasureTheory.AEEqFun.comp₂_eq_mkstatement and proof · cited by 1