Theorems · Theorem · general topology
isSeqCompact_univ_iff
∀ {E : Type u_2} [inst : TopologicalSpace E], IsSeqCompact Set.univ ↔ SeqCompactSpace E- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
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 and proof · cited by 3,945
- IsSeqCompactstatement and proof · cited by 26
- SeqCompactSpacestatement and proof · cited by 7
- SeqCompactSpace.isSeqCompact_univproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- isSeqCompact_iff_seqCompactSpaceproof · cited by 1