Well-founded relation

Well-founded relation

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Notion
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Science and technology
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What Wikipedia says

In mathematics, a binary relation R is called well-founded (or wellfounded or foundational) on a set or, more generally, a class X if every non-empty subset (or subclass) S ⊆ X has a minimal element with respect to R; that is, there exists an m ∈ S such that for every s ∈ S, one does not have s R m. More formally, a relation is well-founded if:

Excerpt from the Wikipedia article “Well-founded relation”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

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