no goals
ι : Sort ?u.87629
α : Type u
β : Type v
inst✝¹ : PseudoMetricSpace α
inst✝ : PseudoMetricSpace β
s t u : Set α
x y : α
Φ : α → β
fin : hausdorffEdist s t ≠ ⊤
⊢ hausdorffDist s t = 0 ↔ closure s = closure t
simp [← hausdorffEdist_zero_iff_closure_eq_closure, hausdorffDist,
  ENNReal.toReal_eq_zero_iff, fin]