lean_workbook_plus_5490

Proved

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

Let $a,b$ be positive real numbers such that $a^5-b^3\geq 2a .$ Prove that $a^3\geq 2b$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_5490 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a^5 - b^3 ≥ 2 * a) : a^3 ≥ 2 * b   :=  by sorry

Source