lean_workbook_plus_67988

Proved

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

Prove that if $a+b+c=0$ then \n\n $2(a^5+b^5+c^5)=5abc(a^2+b^2+c^2)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_67988 (a b c : ℂ) (hab : a + b + c = 0) : 2 * (a^5 + b^5 + c^5) = 5 * a * b * c * (a^2 + b^2 + c^2)   :=  by sorry

Source