lean_workbook_plus_17835

Proved

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

Prove that for any real numbers $a, b, c$ , the following inequality holds: $(3abc + a^3 + b^3 + c^3) \cdot (a + b + c) \geq 2 \cdot (a^2 + b^2 + c^2) \cdot (ab + bc + ca)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_17835 (a b c : ℝ) : (3 * a * b * c + a ^ 3 + b ^ 3 + c ^ 3) * (a + b + c) ≥ 2 * (a ^ 2 + b ^ 2 + c ^ 2) * (a * b + b * c + c * a)   :=  by sorry

Source

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

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