Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.of_comp_snd
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
{ν : MeasureTheory.Measure β} {X : Type u_4} [inst_2 : TopologicalSpace X] {f : β → X} [MeasureTheory.SFinite ν],
MeasureTheory.AEStronglyMeasurable (fun x => f x.2) (μ.prod ν) → μ ≠ 0 → MeasureTheory.AEStronglyMeasurable f ν- Defined in
- Mathlib.MeasureTheory.Integral.Prod
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.prodstatement and proof · cited by 353
- Filter.Eventually.existsproof · cited by 168
- MeasureTheory.AEStronglyMeasurable.prodMk_leftproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.of_comp_sndproof · cited by 2
- MeasureTheory.AEStronglyMeasurable.of_comp_fstproof · cited by 1
- MeasureTheory.AEStronglyMeasurable.comp_snd_iffproof · cited by 0