How do I go about showing that the cardinality of the set of natural numbers and the cardinality of the cartesian product of integers is the same?:
|N|=|Z x Z|
Directly |N| = Aleph-null and I can separate the right side like this: |Z|*|Z|, and because the cardinality of the set of integers is Aleph-null, Aleph-null times Aleph-null is still Aleph-null and thus they are equal. However, I need to show an example how a bijection can be used here? How do I construct a map to let me see a bijection is being used/provide that it is surjective/injective?