Definition:Well-Ordering

Definition
Let $\left({S, \preceq}\right)$ be an ordered set.

Also defined as
uses this term to mean what we call a strict strong well-ordering.

uses this term for what we call a strict well-ordering.

Also see

 * Equivalence of Definitions of Well-Ordering


 * Definition:Well-Ordered Set
 * Definition:Strict Well-Ordering