×

Ordering

Denote the set $$\lbrace \circledS \cup \{ 0 \} \rbrace$$ as the set of natural number that is not divisible by $$2$$. And define the binary relation $$\ge$$ on two natural number $$m , n$$ , $$m \ge n$$ if $$m = k n$$ , for integer k, meaning that $$m$$ divides $$n$$.

How to show that $$\lbrace N \mid \ge \rbrace$$ is order-isomorphc to $$\lbrace \circledS \mid \ge \rbrace$$ ?

Note by L Km
1 week, 6 days ago