Theorems · Definition · measure theory
MeasureTheory.ae
{α : Type u_1} →
{F : Type u_3} → [inst : FunLike F (Set α) ENNReal] → [MeasureTheory.OuterMeasureClass F α] → F → Filter αThe “almost everywhere” filter of co-null sets.
- Defined in
- Mathlib.MeasureTheory.OuterMeasure.AE
- Cited by
- 2,352 results in Mathlib
- Foundations
- Depth 134 from the axioms, rests on 3,737 definitions · 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.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- Filterstatement · cited by 8,121
- FunLikestatement and proof · cited by 2,560
- MeasureTheory.OuterMeasureClassstatement and proof · cited by 104
- MeasureTheory.measure_mono_nullproof · cited by 81
- Filter.ofCountableUnionproof · cited by 5
Cited by2,398
Results whose statement or proof uses this declaration.
- AEMeasurableproof · cited by 840
- MeasureTheory.AEStronglyMeasurableproof · cited by 755
- MeasureTheory.ae_of_allstatement · cited by 137
- MeasureTheory.integral_congr_aestatement and proof · cited by 110
- MeasureTheory.lintegral_congr_aestatement and proof · cited by 95
- MeasureTheory.StronglyMeasurable.aestronglyMeasurableproof · cited by 94
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkstatement · cited by 77
- MeasureTheory.ae_restrict_iff'statement · cited by 71
- MeasureTheory.ae_all_iffstatement · cited by 70
- essSupproof · cited by 69
- AEMeasurable.ae_eq_mkstatement · cited by 65
- MeasureTheory.Submartingaleproof · cited by 63
Showing the 200 most cited of 2,398.