lean_workbook_plus_32251

Proved

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

If $x + \dfrac{1}{y} = \dfrac{1}{5}$ and $y + \dfrac{1}{x} = 20$ , what is the value of the product $xy$ ?

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_32251 (x y : ℝ) (hx : x ≠ 0) (hy : y ≠ 0) (hxy : x + 1/y = 1/5) (hxy : y + 1/x = 20) : x*y = 1   :=  by sorry

Source