Definition:Minimal Condition/Ordered Set

Definition

Let $\struct {S, \preccurlyeq}$ be an ordered set.

Then $S$ satisfies the minimal condition if and only if $\preccurlyeq$ is well-founded:

Every non-empty subset has a minimal element.

Also see

• Definition:Descending Chain Condition

There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.