lean_workbook_plus_232

Proved

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

Let $a, b>0$ and $ab+\frac{1}{ab}=6.$ Prove that $(a+1)( b+1) \geq 2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_232 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a * b + 1 / (a * b) = 6) : (a + 1) * (b + 1) ≥ 2   :=  by sorry

Source