lean_workbook_plus_34396

Proved

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

Prove that the following inequality such that a and b are greater than 1 \n $\frac{a^2}{b-1}+\frac{b^2}{a-1}\ge {8}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_34396 (a b : ℝ) (ha : 1 < a) (hb : 1 < b) : (a^2 / (b-1) + b^2 / (a-1)) ≥ 8   :=  by sorry

Source