Theorems · Theorem · general topology
SeqCompactSpace.isSeqCompact_univ
∀ {X : Type u_1} {inst : TopologicalSpace X} [self : SeqCompactSpace X], IsSeqCompact Set.univ- Defined in
- Mathlib.Topology.Defs.Sequences
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- SeqCompactSpace
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
- IsSeqCompactstatement · cited by 26
- SeqCompactSpacestatement and proof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- SeqCompactSpace.tendsto_subseqproof · cited by 1
- isSeqCompact_univ_iffproof · cited by 1
- IsSeqCompact.rangeproof · cited by 1