no goals
ι : Sort ?u.64784
α : Type u
β : Type v
inst✝¹ : PseudoMetricSpace α
inst✝ : PseudoMetricSpace β
s t u : Set α
x y : α
Φ : α → β
⊢ infDist x (closure s) = infDist x s
simp [infDist, infEdist_closure]