lean_workbook_plus_75759

Proved

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

Prove that $(n+1) \le \left(\frac{n+1}{n}\right)^n \cdot (n+2)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_75759 (n : ℕ) (hn : 0 < n) : (n + 1) ≤ ((n + 1) / n)^n * (n + 2)   :=  by sorry

Source