lean_workbook_plus_28511

Proved

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

Derive the identity $x^{7} + y^{7} + z^{7} = 7xyz(x^2y^2+y^2z^2+z^2x^2)$ given $x+y+z=0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_28511 (x y z : ℂ) (h : x + y + z = 0) : x^7 + y^7 + z^7 = 7 * x * y * z * (x^2 * y^2 + y^2 * z^2 + z^2 * x^2)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph