lean_workbook_plus_15480

Proved

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

Let $x,y \in \mathbb{R}^+_0$ , $x^2+y^2>2$ . Prove that $x^3+y^3>2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_15480 (x y : ℝ) (hx : 0 ≤ x) (hy : 0 ≤ y) (h : x^2 + y^2 > 2) : x^3 + y^3 > 2   :=  by sorry

Source