Definition:Strictly Well-Ordered Set

Definition
Let $\left({S, \prec}\right)$ be a strictly totally ordered set.

Then $\left({S, \prec}\right)$ is a strictly well-ordered set $\prec$ is a foundational relation.

Also see

 * Definition:Ordered Set
 * Definition:Partially Ordered Set
 * Definition:Totally Ordered Set
 * Definition:Well-Ordered Set


 * Definition:Strictly Ordered Set
 * Definition:Strictly Partially Ordered Set
 * Definition:Strictly Totally Ordered Set