Definition:Strictly Precede

Notation
When $a \preceq b$ and $a \ne b$, it is usual to denote this with the symbol:


 * $a \prec b$

and similar derived notation for other ordering symbols.

Also known as
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.

Also see

 * Strictly Precedes is Strict Ordering


 * Definition:Precede
 * Definition:Immediate Predecessor Element


 * Definition:Succeed
 * Definition:Strictly Succeed


 * Reflexive Reduction of Ordering is Strict Ordering where it is demonstrated that the $\prec$ relation can be defined as the reflexive reduction of the $\preceq$ relation.