| Infinite Descending Chain |
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Information AboutInfinite Descending Chain |
| CATEGORIES ABOUT INFINITE DESCENDING CHAIN | |
| order theory | |
| wellfoundedness | |
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As an example, in the set of Integer s, the chain −1, −2, −3, ... is an infinite descending chain, but there exists no infinite chain on the Natural Number s, every chain of natural numbers has a minimal element. If a partially ordered set does not contain any infinite descending chains, it is called Well-founded . A total ordered set without infinite descending chains is called Well-order ed. |
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