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Theorems · Theorem · general topology

IsCountablyCompact.union

∀ {E : Type u_2} [inst : TopologicalSpace E] {A B : Set E},
  IsCountablyCompact A → IsCountablyCompact B → IsCountablyCompact (A ∪ B)

The union of two countably compact sets is countably compact.

Defined in
Mathlib.Topology.Compactness.CountablyCompact
Cited by
1 results in Mathlib
Foundations
Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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