stableUnderGeneralization_iff_exists_sInter_eq

∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X},
  StableUnderGeneralization s ↔ ∃ S, (∀ s ∈ S, IsOpen s) ∧ ⋂₀ S = s

A set is stable under generalization iff it is an intersection of open sets.

Defined in: Mathlib.Topology.Inseparable
Cited by: 0 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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