- #1
bedi
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For two sets X and Y let X^Y be the set of functions from Y to X.
Prove that there is a bijection between (X x Y)^Z and X^Z x Y^Z.
Attempt: I could not get any further from that "there must be a function S with S(f)=g and S(f')=g for any g, f' in X^Z x Y^Z, and where f is in (X x Y)^Z."
Prove that there is a bijection between (X x Y)^Z and X^Z x Y^Z.
Attempt: I could not get any further from that "there must be a function S with S(f)=g and S(f')=g for any g, f' in X^Z x Y^Z, and where f is in (X x Y)^Z."