Definition:Minimal Condition/Ordered Set
< Definition:Minimal Condition(Redirected from Definition:Minimal Condition on Ordered Set)
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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
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