lean_workbook_plus_45241

Proved

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

Given that $[x]$ gives the greatest integer less than or equal to $x$ , does the statement $x \ge [x]$ hold true?

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_45241 (x : ℝ) : x ≥ Int.floor x   :=  by sorry

Source