lean_workbook_plus_47547

Proved

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

Prove that $2(a^4+b^4+c^4+a^2bc+b^2ac+c^2ab)\geq 2(a^3b+a^3c+b^3a+b^3c+c^3a+c^3b)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_47547 (a b c : ℝ) : 2 * (a ^ 4 + b ^ 4 + c ^ 4 + a ^ 2 * b * c + b ^ 2 * a * c + c ^ 2 * a * b) ≥ 2 * (a ^ 3 * b + a ^ 3 * c + b ^ 3 * a + b ^ 3 * c + c ^ 3 * a + c ^ 3 * b)   :=  by sorry

Source

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

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