lean_workbook_plus_77407

Proved

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

Prove that if $a+b+c=0$ , then $\frac{a^2+b^2+c^2}{2}.\frac{a^3+b^3+c^3}{3}=\frac{a^5+b^5+c^5}{5}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_77407 (a b c : ℝ) : a + b + c = 0 → (a ^ 2 + b ^ 2 + c ^ 2) / 2 * (a ^ 3 + b ^ 3 + c ^ 3) / 3 = (a ^ 5 + b ^ 5 + c ^ 5) / 5   :=  by sorry

Source

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

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