lean_workbook_plus_65621

Disproved

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

Solve the system of the equations: \n $x^{2}+y^{2}+z^{2}=9$ \n $x^{4}+y^{4}+z^{4}=33$ \n $xyz=-4$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_65621 (x y z : ℝ) (h₁ : x^2 + y^2 + z^2 = 9) (h₂ : x^4 + y^4 + z^4 = 33) (h₃ : x*y*z = -4) : x = 2 ∧ y = -1 ∧ z = -2   :=  by sorry

Source

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

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