isPreirreducible_iff_forall_mem_subset_closure_singleton

∀ {X : Type u_1} [inst : TopologicalSpace X] [R1Space X] {S : Set X}, IsPreirreducible S ↔ ∀ x ∈ S, S ⊆ closure {x}

Defined in: Mathlib.Topology.Separation.Hausdorff
Cited by: 0 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace R1Space

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