lean_workbook_plus_28886

Proved

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

Prove $4(a^2b+b^2c+c^2a)^2 \leq (a^2+b^2+c^2).\frac{4}{3}.(a^2+b^2+c^2)^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_28886 (a b c : ℝ) : 4 * (a ^ 2 * b + b ^ 2 * c + c ^ 2 * a) ^ 2 ≤ (a ^ 2 + b ^ 2 + c ^ 2) * (4 / 3) * (a ^ 2 + b ^ 2 + c ^ 2) ^ 2   :=  by sorry

Source

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

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