Filter.countable_compl_ker

∀ {α : Type u_2} {l : Filter α} [l.IsCountablyGenerated], Filter.cofinite ≤ l → l.kerᶜ.Countable

If l ≥ Filter.cofinite is a countably generated filter, then l.ker is cocountable.

Defined in: Mathlib.Order.Filter.Cofinite
Cited by: 1 results in Mathlib
Foundations: Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Filter.IsCountablyGenerated

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