lean_workbook_plus_19503

Proved

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

Let $a,b,c,d$ be complex numbers with $a+b+c+d=0$ , prove $a^{3}+b^{3}+c^{3}+d^{3}=3(abc+abd+bcd+acd).$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_19503 (a b c d : ℂ) (h : a + b + c + d = 0) : a^3 + b^3 + c^3 + d^3 = 3 * (a * b * c + a * b * d + b * c * d + a * c * d)   :=  by sorry

Source

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

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