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Theorems · Theorem · general topology

Filter.hasBasis_smallSets

∀ {α : Type u_1} (l : Filter α), l.smallSets.HasBasis (fun t => t ∈ l) Set.powerset
Defined in
Mathlib.Order.Filter.SmallSets
Cited by
2 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Filter.tendsto_smallSets_iff · cited by 7Filter.tendsto_smallSets_…Filter.frequently_smallSets · cited by 1Filter.frequently_smallSe…Set · cited by 53352SetFilter · cited by 8121FilterFilter.HasBasis · cited by 604Filter.HasBasisFilter.basis_sets · cited by 105Filter.basis_setsFilter.smallSets · cited by 89Filter.smallSetsSet.powerset · cited by 67Set.powersetFilter.HasBasis.smallSets · cited by 9HasBasis.smallSetsFilter.hasBasis_smallSetsCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.