Definition:Limit Element under Well-Ordering

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This page is about Limit Element under Well-Ordering. For other uses, see Limit.


Let $A$ be a class.

Let $\preccurlyeq$ be a well-ordering on $A$.

Let $x$ be neither the smallest element of $A$ nor an immediate successor of any element of $A$.

Then $x$ is a limit element of $A$ (under $\preccurlyeq$).

Also see

  • Results about limit elements can be found here.