lean_workbook_plus_58310

Proved

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

If $x$ and $y$ are positif natural numbers, such that $4x^2 + x = 3y^2 + y$ . Show that: $x - y$ is a perfect square.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_58310 (x y : ℕ) (h : 0 < x ∧ 0 < y) (hxy : 4 * x ^ 2 + x = 3 * y ^ 2 + y) : ∃ h : ℕ, h ^ 2 = x - y   :=  by sorry

Source