Transitive Set

Transitive Set

In set theory, a set A is transitive, if and only if

  • whenever xA, and yx, then yA, or, equivalently,
  • whenever xA, and x is not an urelement, then x is a subset of A.

Similarly, a class M is transitive if every element of M is a subset of M.

Read more about Transitive Set:  Examples, Properties, Transitive Closure, Transitive Models of Set Theory, See Also

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