Theorems · Theorem · general topology
PerfectlyNormalSpace.closed_gdelta
∀ {X : Type u} {inst : TopologicalSpace X} [self : PerfectlyNormalSpace X] ⦃h : Set X⦄, IsClosed h → IsGδ h- Defined in
- Mathlib.Topology.Separation.GDelta
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- PerfectlyNormalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- IsClosedstatement · cited by 1,639
- IsGδstatement · cited by 56
- PerfectlyNormalSpacestatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- IsClosed.isGδproof · cited by 2