lean_workbook_plus_46726

Proved

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

Let $a,b>0 .$ Prove that $\frac{a}{a+3} + \frac{b}{a(ab+2)} + \frac{1}{b(b+2)}>\frac{3}{5}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_46726 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : a / (a + 3) + b / (a * b + 2) + 1 / (b * (b + 2)) > 3 / 5   :=  by sorry

Source