refine ⟨N, fun n hn ↦ ?_⟩
case intro
ε : ℝ
hε : ε > 0
N : ℕ
hN : ∀ n ≥ N, dist (1 / (↑n + 1)) 0 < ε / 2
⊢ ∃ N, ∀ n ≥ N, 1 / (↑n + 1) ≤ ε
case intro
ε : ℝ
hε : ε > 0
N : ℕ
hN : ∀ n ≥ N, dist (1 / (↑n + 1)) 0 < ε / 2
n : ℕ
hn : n ≥ N
⊢ 1 / (↑n + 1) ≤ ε