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Theorems · Theorem · general topology

isCountablyCompact_univ_iff

∀ {E : Type u_2} [inst : TopologicalSpace E], IsCountablyCompact Set.univ ↔ CountablyCompactSpace E
Defined in
Mathlib.Topology.Compactness.CountablyCompact
Cited by
1 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isCountablyCompact_iff_countablyCompactSpace · cited by 1isCountablyCompact_iff_co…TopologicalSpace · cited by 24529TopologicalSpaceSet.univ · cited by 3945Set.univIsCountablyCompact · cited by 33IsCountablyCompactCountablyCompactSpace · cited by 7CountablyCompactSpaceCountablyCompactSpace.isCountablyCompact_univ · cited by 3CountablyCompactSpace.isC…isCountablyCompact_univ_iffCITED BYCITES

Cites5

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Cited by1

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