lean_workbook_plus_68543

Proved

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

Given $a+b+c=a^2+b^2+c^2=a^3+b^3+c^3=0$ , prove that $a=b=c=0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_68543 (a b c : ℝ) (ha : a + b + c = 0) (hb : a ^ 2 + b ^ 2 + c ^ 2 = 0) (hc : a ^ 3 + b ^ 3 + c ^ 3 = 0) : a = 0 ∧ b = 0 ∧ c = 0   :=  by sorry

Source

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

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