Theorems · Theorem · general topology
isQuasiSeparated_univ_iff
∀ {α : Type u_3} [inst : TopologicalSpace α], IsQuasiSeparated Set.univ ↔ QuasiSeparatedSpace α- Defined in
- Mathlib.Topology.QuasiSeparated
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement and proof · cited by 3,945
- IsOpenproof · cited by 2,400
- IsCompactproof · cited by 1,282
- QuasiSeparatedSpacestatement · cited by 49
- IsQuasiSeparatedstatement and proof · cited by 17
- quasiSeparatedSpace_iffproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- isQuasiSeparated_univproof · cited by 6
- isQuasiSeparated_iff_quasiSeparatedSpaceproof · cited by 3
- Topology.IsOpenEmbedding.quasiSeparatedSpaceproof · cited by 1
- QuasiSeparatedSpace.of_isOpenEmbeddingproof · cited by 1