lean_workbook_plus_46756

Proved

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

Prove that $8(a^2b^2 + b^2c^2 + c^2a^2)(a^2 + b^2 + c^2) \le\ 9(a^2 + b^2)(a^2 + c^2)(b^2 + c^2)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_46756 (a b c : ℝ) :
  8 * (a^2 * b^2 + b^2 * c^2 + c^2 * a^2) * (a^2 + b^2 + c^2) ≤
  9 * (a^2 + b^2) * (a^2 + c^2) * (b^2 + c^2)   :=  by sorry

Source

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

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