Definition:Strictly Precede

Definition
Let $\left({S, \preceq}\right)$ be a poset.

Let $a \preceq b$ such that $a \ne b$.

Then $a$ strictly precedes $b$.

When $a \preceq b$ and $a \ne b$, it is usual to denote it $\prec$, with similarly derived symbols from other ordering symbols.

Strictly Succeed
When $a \prec b$, the notation $b \succ a$ is generally interpreted as meaning the same thing.

$b \succ a$ can be read as $b$ strictly succeeds $a$.

Also see

 * Strictly Precedes is a Strict Ordering


 * Precede