lean_workbook_plus_63386

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that the set $\{(x,y):xy=1\}$ is closed in the Euclidean metric space $(\mathbb{R}^2, d)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_63386 : IsClosed {p : ℝ × ℝ | p.fst * p.snd = 1}   :=  by sorry

Source