lean_workbook_plus_64837

Open

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

Prove that $\lfloor x \rfloor + \lfloor 1/x \rfloor \geq 1$ for any $x > 0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_64837 (x : ℝ) (hx : 0 < x) : 1 ≤ floor x + floor (1 / x)   :=  by sorry

Source