Definition:Succeed
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(Redirected from Definition:Weak Successor)
Definition
Let $\left({S, \preceq}\right)$ be a poset.
Let $a, b \in S$ such that $a \preceq b$.
Then $b$ succeeds $a$.
Successor
If $a \preceq b$, then $b$ is a successor of $a$.
Beware: some sources use the term successor to mean immediate successor.
If it is important to make the distinction between a successor and a strict successor, the term weak successor can be used for successor.
