lean_workbook_plus_40480

Proved

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

Prove by contrapositive: if $a>b$ , then there is some natural $n$ for which $a>b+\frac1n$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_40480 (a b : ℝ) (h : a > b) : ∃ n : ℕ, a > b + 1 / n   :=  by sorry

Source