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Supertransitive class

Transitive class including powersets of elements From Wikipedia, the free encyclopedia

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In set theory, a supertransitive class is a transitive class[1] which includes as a subset the power set of each of its elements.

Formally, let A be a transitive class. Then A is supertransitive if and only if

[2]

Here P(x) denotes the power set of x.[3]

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