lean_workbook_plus_72102

Proved

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

If $a,b,c>0$ ,prove $a/(a+2(b+c))+b/(b+2(c+a))+c/(c+2(a+b))$ ≥ $3/5$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72102 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a / (a + 2 * (b + c)) + b / (b + 2 * (c + a)) + c / (c + 2 * (a + b)) ≥ 3 / 5   :=  by sorry

Source

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

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