Definition:Strict Predecessor

Definition
Let $\left({S, \preceq}\right)$ be a poset. If $a \prec b$, then $a$ is a (strict) predecessor of $b$.

Beware: some sources use the term predecessor to mean immediate predecessor.

Also see

 * Strictly Precede
 * Immediate Predecessor Element


 * Succeed
 * Strictly Succeed
 * Immediate Successor Element