lean_workbook_plus_25761

Proved

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

Let a>0,b>0. Prove that $\frac{1}{a}+\frac{2}{b}\geq \frac{8}{2a+b}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_25761 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : 1 / a + 2 / b ≥ 8 / (2 * a + b)   :=  by sorry

Source