Theorems · Inductive type · general topology
CountableInterFilter
{α : Type u_2} → Filter α → PropA filter l has the countable intersection property if for any countable collection
of sets s ∈ l their intersection belongs to l as well.
- Defined in
- Mathlib.Order.Filter.CountableInter
- Cited by
- 78 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
Cited by84
Results whose statement or proof uses this declaration.
- IsLindelofproof · cited by 85
- eventually_countable_forallstatement and proof · cited by 7
- countable_sInter_memstatement and proof · cited by 6
- EventuallyMeasurablestatement and proof · cited by 5
- EventuallyMeasurableSetstatement and proof · cited by 4
- isLindelof_of_countable_subcoverproof · cited by 4
- isLindelof_singletonproof · cited by 4
- countable_bInter_memstatement and proof · cited by 4
- ENNReal.eventually_le_limsupstatement and proof · cited by 4
- Filter.EventuallyEq.countable_iUnionstatement and proof · cited by 4
- IsLindelof.inter_rightproof · cited by 4
- eventually_le_limsupstatement and proof · cited by 4