lean_workbook_plus_15389

Proved

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

Prove that there does not exist $p,q,r\in\mathbb Q$ such that $p+q+r=0$ and $pqr=1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_15389 (p q r : ℚ) (hp : p + q + r = 0) (hq : p * q * r = 1) : False   :=  by sorry

Source