IsCountablyCompact.isSeqCompact

∀ {E : Type u_2} [inst : TopologicalSpace E] {A : Set E} [FirstCountableTopology E],
  IsCountablyCompact A → IsSeqCompact A

In a first-countable space, a countably compact set is sequentially compact.

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 FirstCountableTopology

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