lean_workbook_plus_71808

Disproved

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

This inequality is equivalent to \n $a^4 + 2a^2b^2 + b^4 + a^2c^2 + 2abc^2 +b^2c^2 \ge 2a^3c + 2abc^2 + 2b^3c + 2ab^2c$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_71808 : ∀ a b c : ℝ, a^4 + 2*a^2*b^2 + b^4 + a^2*c^2 + 2*a*b*c^2 + b^2*c^2 ≥ 2*a^3*c + 2*a*b*c^2 + 2*b^3*c + 2*a*b^2*c   :=  by sorry

Source

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

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