lean_workbook_plus_22909

Proved

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

So, inequality may be reperesented in form: $\sqrt{\frac{3n+3}{3n+1}}\leq \frac{2n+2}{2n+1}$ , which is easy to prove.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_22909 (n : ℕ) : Real.sqrt ((3 * n + 3) / (3 * n + 1)) ≤ (2 * n + 2) / (2 * n + 1)   :=  by sorry

Source