Ultrafilter.lim_eq_iff_le_nhds

∀ {X : Type u_1} [inst : TopologicalSpace X] [T2Space X] [CompactSpace X] {x : X} {F : Ultrafilter X},
  F.lim = x ↔ ↑F ≤ nhds x

Defined in: Mathlib.Topology.Separation.Hausdorff
Cited by: 2 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace T2Space CompactSpace

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