lean_workbook_plus_12356

Proved

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

Let $a,b>1 .$ Prove that \n

\frac{a}{b-1}+\frac{b}{a-1}\geq \frac{2(a+b)}{a+b-2}

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12356 (a b : ℝ) (ha : 1 < a) (hb : 1 < b) : a / (b - 1) + b / (a - 1) ≥ 2 * (a + b) / (a + b - 2)   :=  by sorry

Source