Prove2Me

lean_workbook_plus_2743

Proved

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

It's equivalent to \n 3∑a4(b2+c2)+6a2b2c2≥4abc∑cyca2(b+c) 3\sum{a^4(b^2 + c^2) + 6a^2b^2c^2\geq 4abc\sum_{cyc}{a^2(b + c)}}

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_2743 (a b c : ℝ) : 3 * (a ^ 4 * (b ^ 2 + c ^ 2) + b ^ 4 * (c ^ 2 + a ^ 2) + c ^ 4 * (a ^ 2 + b ^ 2)) + 6 * a ^ 2 * b ^ 2 * c ^ 2 ≥ 4 * a * b * c * (a ^ 2 * (b + c) + b ^ 2 * (c + a) + c ^ 2 * (a + b))   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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