And similarly for the third part from $B rightarrow C$. It's easy to see with drawing it out that these two are the same because one will have a part within A and the other will lead to a part within $B$, so their cross will be the same.
Bloch: Proofs and Fundamentals: A First Course in Abstract Mathematics.
I wanted to go about proving it by setting a function $f$ within $F(C,AxB)$ and then working from there, but I really have no idea where to start or the notation.2020. To fully understand the solution and write it up on your own.