Theorems · Inductive type · general topology
T4Space
(X : Type u) → [TopologicalSpace X] → Prop
A T₄ space is a normal T₁ space.
- Defined in
- Mathlib.Topology.Separation.Regular
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by14
Results whose statement or proof uses this declaration.
- Measurable.measurableSet_preimage_iff_of_surjectiveproof · cited by 3
- exists_opensMeasurableSpace_of_countablySeparatedstatement and proof · cited by 2
- t5Space_iff_forall_isOpen_t4Spacestatement and proof · cited by 2
- t5Space_iff_forall_t4Spacestatement and proof · cited by 1
- exists_borelSpace_of_countablyGenerated_of_separatesPointsstatement · cited by 1
- Homeomorph.t4Spacestatement and proof · cited by 1
- MeasurableSet.image_of_measurable_injOnproof · cited by 1
- Topology.IsClosedEmbedding.t4Spacestatement and proof · cited by 1
- Metric.t4Spacestatement · cited by 1
- EMetric.t4Spacestatement · cited by 0
- T4Space.casesOnstatement and proof · cited by 0
- T4Space.recOnstatement and proof · cited by 0