Theorems · Theorem · measure theory
MeasureTheory.Measure.FiniteAtFilter.eventually
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : Filter α},
μ.FiniteAtFilter f → ∀ᶠ (s : Set α) in f.smallSets, μ s < ⊤- Cited by
- 4 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Filterstatement and proof · cited by 8,121
- Filter.Eventuallystatement · cited by 3,134
- LE.le.trans_ltproof · cited by 795
- MeasureTheory.measure_monoproof · cited by 338
- Filter.smallSetsstatement · cited by 89
- MeasureTheory.Measure.FiniteAtFilterstatement and proof · cited by 35
Cited by4
Results whose statement or proof uses this declaration.
- VitaliFamily.eventually_measure_lt_topproof · cited by 4
- Filter.Tendsto.integral_sub_linear_isLittleO_aeproof · cited by 3
- MeasureTheory.Measure.FiniteAtFilter.integrableAtFilterproof · cited by 2
- Vitali.exists_disjoint_covering_aeproof · cited by 1