Theorems · Theorem · general topology
Topology.IsEmbedding.t3Space
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [T3Space Y] {f : X → Y},
Topology.IsEmbedding f → T3Space X- Defined in
- Mathlib.Topology.Separation.Regular
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 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
- T0Spaceproof · cited by 179
- RegularSpaceproof · cited by 63
- T3Spacestatement and proof · cited by 51
- Topology.IsEmbedding.isInducingproof · cited by 47
- Topology.IsEmbedding.t0Spaceproof · cited by 5
- Topology.IsInducing.regularSpaceproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Homeomorph.t3Spaceproof · cited by 1
- TopologicalSpace.NonemptyCompacts.t3Space_iffproof · cited by 0
- TopologicalSpace.Compacts.t3Space_iffproof · cited by 0