Theorems · Definition · general topology
Filter.smallSets
{α : Type u_1} → Filter α → Filter (Set α)The filter l.smallSets is the largest filter containing all powersets of members of l.
- Defined in
- Mathlib.Order.Filter.SmallSets
- Cited by
- 89 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Filter.lift'proof · cited by 99
- Set.powersetproof · cited by 67
Cited by94
Results whose statement or proof uses this declaration.
- VitaliFamily.filterAtproof · cited by 49
- MeasureTheory.Measure.supportproof · cited by 41
- MeasureTheory.IsTightMeasureSetproof · cited by 31
- Filter.eventually_smallSets'statement · cited by 11
- Filter.HasBasis.smallSetsstatement · cited by 9
- Filter.TendstoIxxClass.tendsto_Ixxstatement · cited by 8
- Filter.tendsto_smallSets_iffstatement · cited by 7
- MeasureTheory.isTightMeasureSet_iff_exists_isCompact_measure_compl_leproof · cited by 7
- Filter.HasBasis.frequently_smallSetsstatement · cited by 5
- Bornology.IsVonNBounded.imageproof · cited by 5
- Filter.eventually_smallSetsstatement · cited by 5
- MeasureTheory.Measure.FiniteAtFilter.eventuallystatement · cited by 4