lean_workbook_plus_14564

Proved

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

Suppose that for an integer $n>9$ we have ${2^n}>{n^3},$ we want to prove that $2^{n+1} > (n+1)^3.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14564 (n : ℕ) (hn : 9 < n) (h : 2^n > n^3) : 2^(n + 1) > (n + 1)^3   :=  by sorry

Source