lean_workbook_plus_55302

Proved

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

Let $x,y\geq 0$ , s.t. $x^2 + y^3\geq x^3 + y^4$ . Prove that: $x^3 + y^3\leq 2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_55302 (x y : ℝ) (hx : 0 ≤ x) (hy : 0 ≤ y) (h : x^2 + y^3 ≥ x^3 + y^4) : x^3 + y^3 ≤ 2   :=  by sorry

Source