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Grothendieck universe

Definition

In set theory, a Grothendieck universe is a set with the following properties:If is an element of and if is an element of , then is also an element of . If and are both elements of , then is an element of . If is an element of , then , the power set of , is also an element of . If is a family of elements of , and if I is an element of , then the union is an element of .

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