Theorems · Definition · general topology

PerfectlyNormalSpace.casesOn

{X : Type u} →
  [inst : TopologicalSpace X] →
    {motive : PerfectlyNormalSpace X → Sort u_1} →
      (t : PerfectlyNormalSpace X) →
        ([toNormalSpace : NormalSpace X] → (closed_gdelta : ∀ ⦃h : Set X⦄, IsClosed h → IsGδ h) → motive ⋯) → motive t

Defined in: Mathlib.Topology.Separation.GDelta
Cited by: 0 results in Mathlib
Foundations: Depth 9 from the axioms · uses no axioms
Assumes: TopologicalSpace

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Setstatement and proof · cited by 53,352
TopologicalSpacestatement and proof · cited by 24,529
IsClosedstatement and proof · cited by 1,639
NormalSpacestatement and proof · cited by 84
IsGδstatement and proof · cited by 56
PerfectlyNormalSpacestatement and proof · cited by 6

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