Chinese remainder theorem

Coprime moduli split one congruence class modulo $pq$ into independent classes modulo $p$ and $q$.Suggest a slogan

Let $p$ and $q$ be positive integers with $\gcd(p, q) = 1$. Then \[ \ZZ/pq\ZZ \cong \ZZ/p\ZZ \times \ZZ/q\ZZ. \]