Let $A$, $B$, and $C$ be nonempty sets. I need to find conditions to guarantee that there is an injective function from $B^A$, the set of all functions from $A$ to $B$, to $\displaystyle (C^B)^{C^A}$.
Afterwards, I need to show this kind of a function and to prove that it is injective one.
I tried to do that with a power equation. Any suggestions? Thanks (and if you may try to write it in simple as you can due to my math-English barriers :) )
-Nir