Theorems · Inductive type · measure theory
Filter.IsMeasurablyGenerated
{α : Type u_1} → [MeasurableSpace α] → Filter α → PropA filter f is measurably generated if each s ∈ f includes a measurable t ∈ f.
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- Filterstatement · cited by 8,121
Cited by32
Results whose statement or proof uses this declaration.
- Asymptotics.IsBigO.integrableAtFilterstatement and proof · cited by 7
- Filter.Eventually.exists_measurable_mem_of_smallSetsstatement and proof · cited by 4
- MeasureTheory.LocallyIntegrableOn.integrableOn_of_isBigO_atTopstatement and proof · cited by 4
- Filter.Tendsto.integral_sub_linear_isLittleO_aestatement and proof · cited by 3
- Filter.IsMeasurablyGenerated.exists_measurable_subsetstatement and proof · cited by 3
- Filter.Tendsto.integrableAtFilterstatement · cited by 2
- MeasureTheory.Measure.FiniteAtFilter.integrableAtFilterstatement and proof · cited by 2
- intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae'statement and proof · cited by 2
- MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter_of_tendsto_aestatement and proof · cited by 2
- intervalIntegral.measure_integral_sub_linear_isLittleO_of_tendsto_ae_of_le'statement and proof · cited by 2
- measurableSet_tendstostatement and proof · cited by 2