Prove2Me

lean_workbook_plus_62897

Disproved

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

We have  2ac(a+c)(a+b)+2ab(b+c)(a+b)+2bc(b+c)(a+c)−(a+b+c)(a+b)(b+c)(c+a)=0\begin{array}{c}\ 2ac(a+c)(a+b)+2ab(b+c)(a+b)+2bc(b+c)(a+c)-(a+b+c)(a+b)(b+c)(c+a)=0 \end{array}

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_62897 :  ∀ a b c : ℝ, 2 * a * c * (a + c) * (a + b) + 2 * a * b * (b + c) * (a + b) + 2 * b * c * (b + c) * (a + c) - (a + b + c) * (a + b) * (b + c) * (c + a) = 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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