Definition:Well-Ordered Class

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Let $V$ be a basic universe.

Let $\RR \subseteq V \times V$ be a relation.

Let $A$ be a subclass of the field of $\RR$.

Let the restriction of $\RR$ to $A$ be a well-ordering on $A$.

Then $A$ is described as being well-ordered under $\RR$.

Also see

  • Results about ordered classes can be found here.