lean_workbook_plus_48715

Proved

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

Prove that for $a,b,c$ such that $a+b+c=0$ , we have: $\frac {x^2+y^2 + y^2} 2 \cdot \frac {x^3 + y^3 + z^3} 3 = \frac {x^5 + y^5 + z^5}5$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_48715 (x y z : ℝ) (h : x + y + z = 0) : (x^2 + y^2 + z^2) / 2 * (x^3 + y^3 + z^3) / 3 = (x^5 + y^5 + z^5) / 5   :=  by sorry

Source

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

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