no goals
α : Type u
β : Type v
ι : Sort w
a : α
s✝ s₁ s₂ t : Set α
p p₁ p₂ : α → Prop
inst✝ : TopologicalSpace α
s : Set α
⊢ Set.Nonempty (closure s) ↔ Set.Nonempty s
simp only [nonempty_iff_ne_empty, Ne.def, closure_empty_iff]