Prove2Me

lean_workbook_plus_3104

Proved

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

Prove that ∑cyc(a−b)2(a2+b2−c2)≥0\sum_{cyc}(a-b)^2(a^2+b^2-c^2)\geq0

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_3104 {a b c : ℝ} : (a - b) ^ 2 * (a ^ 2 + b ^ 2 - c ^ 2) + (b - c) ^ 2 * (b ^ 2 + c ^ 2 - a ^ 2) + (c - a) ^ 2 * (c ^ 2 + a ^ 2 - b ^ 2) ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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