lean_workbook_plus_57100

Proved

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

Solve $x=y^2+z^2, y=z^2+x^2, z=x^2+y^2$ in the reals.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_57100 (x y z : ℝ) (hx : x = y ^ 2 + z ^ 2) (hy : y = z ^ 2 + x ^ 2) (hz : z = x ^ 2 + y ^ 2) : x = y ∧ y = z ∧ z = x   :=  by sorry

Source

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

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