lean_workbook_plus_35095

Proved

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

Let $r \in Q^+$ . Prove that if $\frac{r^2 + 1}{r} \leq 1$ , then $\frac{r^2 + 2}{r} \leq 2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35095 (r : ℚ) (hr : 0 < r) : (r^2 + 1) / r ≤ 1 → (r^2 + 2) / r ≤ 2   :=  by sorry

Source