Definition:Succeed

Definition
Let $\preceq$ be an ordering.

Let $a, b$ be such that $a \preceq b$.

Then $b$ succeeds $a$.

$a$ is then described as being a successor of $b$.

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

Also see

 * Definition:Strictly Succeed
 * Definition:Immediate Successor Element


 * Definition:Precede