Theorems · Theorem · measure theory
aeSeq.measurable
∀ {ι : Sort u_1} {α : Type u_2} {β : Type u_3} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {f : ι → α → β}
{μ : MeasureTheory.Measure α} (hf : ∀ (i : ι), AEMeasurable (f i) μ) (p : α → (ι → β) → Prop) (i : ι),
Measurable (aeSeq hf p i)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 181 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.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Measurablestatement · cited by 1,499
- AEMeasurablestatement and proof · cited by 840
- AEMeasurable.measurable_mkproof · cited by 62
- aeSeqstatement · cited by 15
- Measurable.iteproof · cited by 8
- measurable_const'proof · cited by 2
- aeSeq.aeSeqSet_measurableSetproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- aemeasurable_of_tendsto_metrizable_aeproof · cited by 7
- MeasureTheory.lintegral_iSup_directedproof · cited by 2
- MeasureTheory.lintegral_iSup'proof · cited by 2
- AEMeasurable.isLUBproof · cited by 1
- ENNReal.aemeasurable_of_tendsto'proof · cited by 1
- MeasureTheory.lintegral_iInf'proof · cited by 1