Theorems · Theorem · general topology
Homeomorph.t4Space
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [T4Space X] (h : X ≃ₜ Y),
T4Space Y- Defined in
- Mathlib.Topology.Separation.Regular
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmproof · cited by 365
- Homeomorph.isClosedEmbeddingproof · cited by 37
- T4Spacestatement and proof · cited by 12
- Topology.IsClosedEmbedding.t4Spaceproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- exists_borelSpace_of_countablyGenerated_of_separatesPointsproof · cited by 1