lean_workbook_plus_3957

Proved

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

Let $a,b>0$ Prove that:\n $\frac{a}{b^{2}}+\frac{b}{a^{2}}+\frac{16}{a+b}\geq 5\left ( \frac{1}{a} +\frac{1}{b}\right )$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_3957 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : a / b ^ 2 + b / a ^ 2 + 16 / (a + b) ≥ 5 * (1 / a + 1 / b)   :=  by sorry

Source