lean_workbook_plus_9479

Disproved

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

Prove that there do not exist distinct reals $x,y,u,v$ such that $x^2+y^2=u^2+v^2 , x^3+y^3=u^3+v^3$ simultaneously hold.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_9479 (x y u v : ℝ) (h1 : x ≠ u) (h2 : x ≠ v) (h3 : y ≠ u) (h4 : y ≠ v) (h5 : x^2 + y^2 = u^2 + v^2) (h6 : x^3 + y^3 = u^3 + v^3) : False   :=  by sorry

Source

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

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