lean_workbook_plus_22488

Proved

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

Given the equation \n

3 = \frac{x+y+1}{xy}

\nwhere x and y are positive real numbers, prove that \n

xy \geq 1

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_22488 (x y : ℝ) (hxy : 0 < x ∧ 0 < y) (h : 3 = (x + y + 1) / (x * y)) : x * y ≥ 1   :=  by sorry

Source