lean_workbook_plus_11616

Proved

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

Given $a, b$ are positive real numbers and $a^2 + b^3 \geq a^3 + b^4$ , prove that $a^3 + b^3 \leq 2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11616 : ∀ a b : ℝ, a > 0 ∧ b > 0 ∧ a^2 + b^3 ≥ a^3 + b^4 → a^3 + b^3 ≤ 2   :=  by sorry

Source