Prove2Me

lean_workbook_plus_6295

Proved

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

≤(a+b+c)2(ab+bc+ca)−abc(a+b+c)=(a+b+c)(a+b)(b+c)(c+a) \le (a + b + c)^2(ab + bc + ca) - abc(a + b + c) = (a + b + c)(a + b)(b + c)(c + a)

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_6295 (a b c : ℝ) : (a + b + c) ^ 2 * (a * b + b * c + c * a) - a * b * c * (a + b + c) = (a + b + c) * (a + b) * (b + c) * (c + a)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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