lean_workbook_plus_11849

Proved

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

$\frac{2}{a+b}+\frac{2}{a+c}+\frac{2}{b+c} \leq \frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11849 {a b c : ℝ} (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (2 / (a + b) + 2 / (a + c) + 2 / (b + c)) ≤ (1 / a + 1 / b + 1 / c)   :=  by sorry

Source

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

View graph