lean_workbook_plus_12162

Proved

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

Solve $11x-y^2 > 0$ for positive integers $x$ and $y$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12162 (x y : ℤ) (h₁ : 0 < x ∧ 0 < y) (h₂ : 11*x - y^2 > 0) : ∃ x y : ℤ, 0 < x ∧ 0 < y ∧ 11*x - y^2 > 0   :=  by sorry

Source