lean_workbook_plus_38165

Proved

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

$\Longleftrightarrow a^4+b^4+c^4\geq \frac{1}{2}(ab(a^2+b^2)+bc(b^2+c^2)+ca(c^2+a^2))$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_38165 (a b c : ℝ) : a^4 + b^4 + c^4 ≥ 1 / 2 * (a * b * (a^2 + b^2) + b * c * (b^2 + c^2) + c * a * (c^2 + a^2))   :=  by sorry

Source

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

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