lean_workbook_plus_54412

Proved

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

Let $x, y, z \in \mathbb Z$ such that $x^2 + y^2 = z^2$ . Show that $x$ and $y$ are not both odd and that $xy$ is multiple of 6.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_54412 (x y z : ℤ) (h₁ : x^2 + y^2 = z^2) (h₂ : Odd x ∧ Odd y) : False   :=  by sorry

Source