Prove2Me

lean_workbook_plus_14755

Proved

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

we have 3∑cyc(aa+2b)2≥(∑cycaa+2b)2 3\sum_{cyc}\left(\frac{a}{a+2b}\right)^2\ge\left(\sum_{cyc}\frac{a} {a+2b}\right)^2 .

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_14755 (a b c : ℝ) : 3 * ((a / (a + 2 * b)) ^ 2 + (b / (b + 2 * c)) ^ 2 + (c / (c + 2 * a)) ^ 2) ≥ (a / (a + 2 * b) + b / (b + 2 * c) + c / (c + 2 * a)) ^ 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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