CountableSupClosed.of_iSup_mem

∀ {α : Type u_2} {s : Set α} [inst : CompleteLattice α],
  (∀ (A : ℕ → α), (∀ (n : ℕ), A n ∈ s) → ⨆ n, A n ∈ s) → CountableSupClosed s

Defined in: Mathlib.Order.CountableSupClosed
Cited by: 1 results in Mathlib
Foundations: Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CompleteLattice

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