Theorems · Theorem · general topology
TopologicalSpace.NonemptyCompacts.t3Space_iff
∀ {α : Type u_1} [inst : TopologicalSpace α], T3Space (TopologicalSpace.NonemptyCompacts α) ↔ T3Space α- Defined in
- Mathlib.Topology.Sets.VietorisTopology
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, 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
- TopologicalSpace.NonemptyCompactsstatement and proof · cited by 137
- T3Spacestatement and proof · cited by 51
- TopologicalSpace.NonemptyCompacts.isEmbedding_singletonproof · cited by 6
- Topology.IsEmbedding.t3Spaceproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.