Prove2Me

lean_workbook_plus_70857

Disproved

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

Use 9(a+b)(b+c)(c+a)≥8(a+b+c)(ab+bc+ca)9(a+b)(b+c)(c+a)\ge 8(a+b+c)(ab+bc+ca) and (ab+bc+ca)2≥3abc(a+b+c)(ab+bc+ca)^2\ge 3abc(a+b+c) .

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_70857 : ∀ a b c : ℝ, 9 * (a + b) * (b + c) * (c + a) ≥ 8 * (a + b + c) * (a * b + b * c + c * a) ∧ (a * b + b * c + c * a) ^ 2 ≥ 3 * a * b * c * (a + b + c)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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