Theorems · Theorem · general topology
Filter.hasBasis_cofinite
∀ {α : Type u_2}, Filter.cofinite.HasBasis (fun s => s.Finite) compl- Defined in
- Mathlib.Order.Filter.Cofinite
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Compl.complstatement and proof · cited by 2,925
- Set.Finitestatement and proof · cited by 1,814
- Filter.HasBasisstatement · cited by 604
- Set.Finite.subsetproof · cited by 285
- Filter.cofinitestatement and proof · cited by 251
- compl_complproof · cited by 229
- Eq.subsetproof · cited by 124
- Set.compl_subset_commproof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- Filter.cocompact_eq_cofiniteproof · cited by 7
- MeasureTheory.measure_limsup_cofinite_eq_zeroproof · cited by 3
- Metric.isBounded_range_of_tendsto_cofinite_uniformityproof · cited by 2