Prove2Me

lean_workbook_plus_73424

Proved

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

Prove that ∑a4+2∑a2b2≥3abc(a+b+c)\sum a^4+2\sum a^2b^2\geq 3abc(a+b+c)

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_73424 (a b c : ℝ) : a ^ 4 + b ^ 4 + c ^ 4 + 2 * (a ^ 2 * b ^ 2 + b ^ 2 * c ^ 2 + c ^ 2 * a ^ 2) ≥ 3 * a * b * c * (a + b + c)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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