IsCountablyCompact.exists_accPt_of_infinite

∀ {E : Type u_2} [inst : TopologicalSpace E] {A B : Set E},
  IsCountablyCompact A → B ⊆ A → B.Infinite → ∃ a ∈ A, AccPt a (Filter.principal B)

Every infinite subset of a countably compact set has an accumulation point in the set.

Defined in: Mathlib.Topology.Compactness.CountablyCompact
Cited by: 1 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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