lean_workbook_plus_16001

Proved

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

Prove that if $x$ and $y$ are positive reals and $x^{2}+y^{3}\ge x^{3}+y^{4}$ , than: $x^{3}+y^{3}\le 2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_16001 (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