lean_workbook_plus_2409

Proved

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

For arbitrary positive numbers $a,b,c$ , prove the inequality $\frac{a}{b+2c}+\frac{b}{c+2a}+\frac{c}{a+2b}\geq 1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_2409 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a / (b + 2 * c) + b / (c + 2 * a) + c / (a + 2 * b) ≥ 1   :=  by sorry

Source

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

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