lean_workbook_plus_41314

Proved

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

Let $a$ , $b$ be non-negative numbers such that $a^3+b^2\geq a^4+b^3$ . Prove that $a^3+b^3\leq4$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_41314 (a b : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hab : a^3 + b^2 ≥ a^4 + b^3) : a^3 + b^3 ≤ 4   :=  by sorry

Source