How to prove/What laws to use for $(A\times B)∩(B\times A)$ $=$ $(A∩B)\times (A∩B)$. I'm stuck on where to start for my homework. I'm trying to re-write the left side using one of the sets laws. But I'm either blind or I just have no idea.
Is there any easier to start or is using the laws the best way to go about it?

$(x,y)\in (A\times B)\cap(B\times A)\iff$ $x\in A, y\in B$ and $x\in B, y\in A \iff x\in A\cap B$  and $y\in A\cap B\iff$$(x,y)\in ((A\cap B)\times (A\cap B))$
