lean_workbook_plus_41525

Proved

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

Suppose that positive numbers $x$ and $y$ satisfy $x^{3}+y^{4}\leq x^{2}+y^{3}$ . Prove that $x^{3}+y^{3}\leq 2.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_41525 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) (h : x^3 + y^4 ≤ x^2 + y^3) : x^3 + y^3 ≤ 2   :=  by sorry

Source