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Question of the Day: Set Theory

For an injective function  from set  to set  defined by , which of the following does NOT need to be true?

No element of  may map to multiple elements of .

Every element of  must map to one or more elements of .

No element of  may map to multiple elements of .

All of the conditions here must be true.

Every element of  must map to one or more elements of .

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