lean_workbook_plus_18309

Proved

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

Let $a, b> 0$ . Prove that \n

\frac{a}{b}+ \frac{4b}{a}+\frac{ ab}{a^2+4b^2}\ge\frac{17}{4}

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_18309 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : a / b + 4 * b / a + a * b / (a ^ 2 + 4 * b ^ 2) ≥ 17 / 4   :=  by sorry

Source