The natural numbers together with their order relation $(\mathbb N,\le)$ is a well-ordered set, i.e. each non-empty subset \(M\subseteq\mathbb N\) contains a unique smallest element \(m_0 \le m\in M\).

The natural numbers together with their order relation $(\mathbb N, < )$ is a well-ordered set, i.e. each non-empty subset \(M\subseteq\mathbb N\) contains a unique minimal element \(m_0 < m\in M\).

| | | | | created: 2014-06-21 14:30:54 | modified: 2019-07-28 13:58:35 | by: *bookofproofs* | references: [696]

[696] **Kramer Jürg, von Pippich, Anna-Maria**: “Von den natürlichen Zahlen zu den Quaternionen”, Springer-Spektrum, 2013