lean_workbook_plus_4777

Disproved

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

Then, $a^{2}b^{2}c^{2}(a^{2}+b^{2})(b^{2}+c^{2})(c^{2}+a^{2}) \le \frac{1}{2^{9}}(a+b)^{4}(b+c)^{4}(c+a)^{4}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_4777 : ∀ a b c : ℝ, a^2 * b^2 * c^2 * (a^2 + b^2) * (b^2 + c^2) * (c^2 + a^2) ≤ (1 / (2^9)) * (a + b)^4 * (b + c)^4 * (c + a)^4   :=  by sorry

Source

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

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