lean_workbook_plus_51722

Proved

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

For positive real numbers $a, b, w, u$ , prove that:\n $\frac{ab}{a+b} \le \frac{w^2 a+ u^2 b}{(w+u)^2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_51722 (a b w u : ℝ) (ha : 0 < a) (hb : 0 < b) (hw : 0 < w) (hu : 0 < u) : (a * b) / (a + b) ≤ (w^2 * a + u^2 * b) / (w + u)^2   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph