Prove2Me

lean_workbook_plus_24911

Proved

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

⇔8+2∑ab≥12+abc⇔2∑ab−abc≥4\Leftrightarrow 8+2\sum ab\geq 12+abc \Leftrightarrow 2\sum ab-abc\geq 4 (1)

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_24911 (a b c : ℝ) : 8 + 2 * (a * b + b * c + c * a) ≥ 12 + a * b * c ↔ 2 * (a * b + b * c + c * a) - a * b * c ≥ 4   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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