lean_workbook_plus_10151

Proved

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

Let $a, b, c$ are three real numbers, such that $a+b+c=0$ and $a^3+b^3+c^3=0$ . Prove that $abc=0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10151 (a b c : ℝ) (h1 : a + b + c = 0) (h2 : a^3 + b^3 + c^3 = 0) : a * b * c = 0   :=  by sorry

Source