Definition:Strictly Succeed/Also known as

The statement $b$ strictly succeeds $a$ can be expressed as $a$ is a strict succcessor of $b$.
Some sources say that $b$ follows $a$.
When the underlying set $S$ of the ordered set $\left({S, <}\right)$ is one of the sets of numbers $\N$, $\Z$, $\Q$, $\R$ or a subset, the term is greater than is usually used instead of (strictly) succeeds.