mem_countableInfClosure_iff_iInf

∀ {α : Type u_2} {s : Set α} {a : α} [inst : CompleteLattice α],
  a ∈ countableInfClosure s ↔ ∃ t, (∀ (n : ℕ), t n ∈ s) ∧ ⨅ n, t n = a

Defined in: Mathlib.Order.CountableSupClosed
Cited by: 1 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CompleteLattice

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