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The universal property states that for any sets X, Y, and Z, the set of functions from Z to the Cartesian product of X and Y is naturally isomorphic to the Cartesian product of the set of functions from Z to X and the set of functions from Z to Y.

Conditions: Applies specifically to Cartesian products, not general operations like addition.

The universal property states that for any sets X, Y, and Z, the set of functions from Z to the Cartesian product of X and Y is naturally isomorphic to the Cartesian product of the set of functions from Z to X and the set of functions from Z to Y.

Conditions: Applies specifically to Cartesian products, not general operations like addition.