Theorems · Theorem · general topology
CountablyCompactSpace.isCountablyCompact_univ
∀ {E : Type u_4} {inst : TopologicalSpace E} [self : CountablyCompactSpace E], IsCountablyCompact Set.univ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 50 from the axioms · uses propext, Quot.sound
- Assumes
- CountablyCompactSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement · cited by 3,945
- IsCountablyCompactstatement · cited by 33
- CountablyCompactSpacestatement and proof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- isCountablyCompact_univ_iffproof · cited by 1
- LindelofSpace.compactSpaceproof · cited by 1
- IsClosed.isCountablyCompactproof · cited by 0