Theorems · Theorem · general topology
noncompact_univ
∀ (X : Type u_2) [inst : TopologicalSpace X] [NoncompactSpace X], ¬IsCompact Set.univ
- Defined in
- Mathlib.Topology.Compactness.Compact
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- IsCompactstatement · cited by 1,282
- NoncompactSpacestatement and proof · cited by 21
- NoncompactSpace.noncompact_univproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsCompact.ne_univproof · cited by 4