Definition:Strictly Precede/Also known as

Definition
The statement $a$ strictly precedes $b$ can be expressed as $a$ is a strict predecessor of $b$.

Some sources refer to a strict predecessor simply as a predecessor.

When the underlying set $S$ of the ordered set $\struct {S, <}$ is one of the sets of numbers $\N$, $\Z$, $\Q$, $\R$ or a subset, the term is less than is usually used instead of (strictly) precedes.