lean_workbook_plus_28633

Proved

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

Prove that $ab(a^{2}+b^{2})+bc(b^{2}+c^{2})+ca(c^{2}+a^{2})\leq 2a^{4}+2b^{4}+2c^{4}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_28633 : ∀ a b c : ℝ, a * b * (a ^ 2 + b ^ 2) + b * c * (b ^ 2 + c ^ 2) + c * a * (c ^ 2 + a ^ 2) ≤ 2 * a ^ 4 + 2 * b ^ 4 + 2 * c ^ 4   :=  by sorry

Source

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

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