lean_workbook_plus_21471

Proved

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

If $u<v$ are real, then by density of the rational numbers, there is some rational $q$ such that $u<q<v$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_21471 (u v : ℝ) (huv : u < v) : ∃ q : ℚ, u < q ∧ q < v   :=  by sorry

Source