lean_workbook_plus_30749

Proved

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

Theorem: Suppose $a$ and $b$ are real numbers with $a<b.$ Then there exists a rational number $q$ such that $a<q<b.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_30749 (a b : ℝ) (hab : a < b) : ∃ q : ℚ, a < q ∧ ↑q < b   :=  by sorry

Source