Mathlib Map

Theorems · Inductive type · general topology

T5Space

(X : Type u) → [TopologicalSpace X] → Prop

A T₅ space is a completely normal T₁ space.

Defined in
Mathlib.Topology.Separation.Regular
Cited by
7 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

t5Space_iff_forall_isOpen_t4Space · cited by 2t5Space_iff_forall_isOpen…Topology.IsEmbedding.t5Space · cited by 1IsEmbedding.t5Spacet5Space_iff_forall_t4Space · cited by 1t5Space_iff_forall_t4SpaceWithZeroTopology.t5Space · cited by 0WithZeroTopology.t5SpaceT5Space.casesOn · cited by 0T5Space.casesOnHomeomorph.t5Space · cited by 0Homeomorph.t5SpaceT5Space.of_forall_isOpen_t4Space · cited by 0T5Space.of_forall_isOpen_…T5Space.recOn · cited by 0T5Space.recOnT5Space.of_forall_t4Space · cited by 0T5Space.of_forall_t4SpaceTopologicalSpace · cited by 24529TopologicalSpaceT5SpaceCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.