Definition:Succeed

Definition
Let $\left({S, \preceq}\right)$ be an ordered set.

Let $a, b \in S$ such that $a \preceq b$.

Then $b$ succeeds $a$.

Also defined as
Some sources use the term successor to mean immediate successor.

Also see

 * Definition:Strictly Succeed
 * Definition:Immediate Successor Element


 * Definition:Precede