lean_workbook_plus_14673

Proved

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

$2<x+\frac{2}{x}<3$ is true for $1<x<2$ ( can be improved as $\frac{3}{2}+\frac{4}{3}<x+\frac{2}{x}<\frac{8}{5}+\frac{5}{4}$ )

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14673 (x : ℝ) (hx: 1<x ∧ x<2) : 2 < x + 2 / x ∧ x + 2 / x < 3   :=  by sorry

Source