lean_workbook_plus_17775

Proved

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

Prove that $9(a^2+b^2)(b^2+c^2)(c^2+a^2)\ge 2(a^2+b^2+c^2)^3$ given $a+b+c=0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17775 (a b c : ℝ) (hab : a + b + c = 0) : 9 * (a ^ 2 + b ^ 2) * (b ^ 2 + c ^ 2) * (c ^ 2 + a ^ 2) ≥ 2 * (a ^ 2 + b ^ 2 + c ^ 2) ^ 3   :=  by sorry

Source

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

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