stableUnderSpecialization_iff_exists_sUnion_eq

∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X},
  StableUnderSpecialization s ↔ ∃ S, (∀ s ∈ S, IsClosed s) ∧ ⋃₀ S = s

A set is stable under specialization iff it is a union of closed sets.

Defined in: Mathlib.Topology.Inseparable
Cited by: 1 results in Mathlib
Foundations: Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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