lean_workbook_plus_10458

Proved

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

Prove that if a prime number $p$ divides the product $ab$ , then $p$ divides either $a$ or $b$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10458 (p : ℕ) (hp : p.Prime) (a b : ℕ) (hab : p ∣ a * b) : p ∣ a ∨ p ∣ b   :=  by sorry

Source