Definition:Strictly Succeed

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Definition

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

Let $a \prec b$.

That is, let $a$ strictly precede $b$.


Then $b$ strictly succeeds $a$.

This can be expressed symbolically as:

$b \succ a$


Strict Successor

If $b \succ a$, then $a$ is a (strict) successor of $b$.

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


Also see

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