Prove2Me

lean_workbook_plus_7545

Proved

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

=∑cyca2(a+b)2+12∑cyc(a2−b2)2≥0 = \sum_{cyc} a^2(a+b)^2 + \frac 12 \sum_{cyc} (a^2-b^2)^2 \geq 0

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_7545 (a b c : ℝ) : a * a * (a + b) * (a + b) + b * b * (b + c) * (b + c) + c * c * (c + a) * (c + a) + 1 / 2 * (a * a - b * b) * (a * a - b * b) + 1 / 2 * (b * b - c * c) * (b * b - c * c) + 1 / 2 * (c * c - a * a) * (c * c - a * a) ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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