Can you prove the following theory of cardinality for a Cartesian product, -(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\left|\:A\:\right|\:\leq\:\left|\:A\:\times\:B\:\right|\: if\: B\neq\phi[/itex]

In English,

The cardinality of a set [itex]A[/itex] is less than or equal to the cardinality of Cartesian product of A and a non empty set [itex]B[/itex].

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# Cardinality of Cartesian Product

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