lean_workbook_plus_62981

Proved

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

Prove that for all real numbers $x,y$ excluding 0: $x^2 + xy + y^2 > 0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_62981 (x y : ℝ) (hx : x ≠ 0) (hy : y ≠ 0) : x ^ 2 + x * y + y ^ 2 > 0   :=  by sorry

Source