countable_iInter_mem

∀ {ι : Sort u_1} {α : Type u_2} {l : Filter α} [CountableInterFilter l] [Countable ι] {s : ι → Set α},
  ⋂ i, s i ∈ l ↔ ∀ (i : ι), s i ∈ l

Defined in: Mathlib.Order.Filter.CountableInter
Cited by: 3 results in Mathlib
Foundations: Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CountableInterFilter Countable

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