Theorems · Inductive type · general topology
T35Space
(X : Type u) → [TopologicalSpace X] → Prop
A T₃.₅ space is a completely regular space that is also T₀.
- Cited by
- 10 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 by12
Results whose statement or proof uses this declaration.
- injective_stoneCechUnit_of_t35Spacestatement and proof · cited by 2
- T35Space.casesOnstatement and proof · cited by 1
- Topology.IsEmbedding.t35Spacestatement and proof · cited by 1
- isEmbedding_stoneCechUnitstatement and proof · cited by 1
- separatesPoints_continuous_of_t35Space_Iccstatement and proof · cited by 1
- T35Space.recOnstatement and proof · cited by 0
- CompletelyRegularSpace.totallySeparatedSpace_of_cardinalMk_lt_continuumstatement and proof · cited by 0
- t35Space_iffstatement and proof · cited by 0
- t35Space_iff_isEmbedding_stoneCechUnitstatement and proof · cited by 0
- Set.Countable.totallySeparatedSpacestatement and proof · cited by 0
- separatesPoints_continuous_of_t35Spacestatement and proof · cited by 0
- isDenseEmbedding_stoneCechUnitstatement and proof · cited by 0