CompleteLattice.isCompactElement_iff_exists_le_iSup_of_le_iSup

∀ {α : Type u} [inst : CompleteLattice α] (k : α),
  IsCompactElement k ↔ ∀ (ι : Type u) (s : ι → α), k ≤ iSup s → ∃ t, k ≤ t.sup s

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

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