lean_workbook_plus_27046

Proved

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

Let $a,b$ be positive real numbers , prove that $\frac{1}{a}+\frac{3}{a+b}\le \frac{4}{3}(\frac{1}{a}+\frac{1}{b})$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_27046 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : 1 / a + 3 / (a + b) ≤ 4 / 3 * (1 / a + 1 / b)   :=  by sorry

Source