Theorems · Theorem · general topology
Topology.IsEmbedding.t5Space
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [T5Space Y] {e : X → Y},
Topology.IsEmbedding e → T5Space X- Defined in
- Mathlib.Topology.Separation.Regular
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- Topology.IsEmbeddingstatement and proof · cited by 294
- T1Spaceproof · cited by 275
- Topology.IsEmbedding.toIsInducingproof · cited by 48
- CompletelyNormalSpaceproof · cited by 9
- T5Spacestatement and proof · cited by 7
- Topology.IsEmbedding.t1Spaceproof · cited by 3
- Topology.IsInducing.completelyNormalSpaceproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Homeomorph.t5Spaceproof · cited by 0