Proof: A\B $\subset$ A
This means x $\in$ A and x $\notin$ B. Then x $\in$ A.
Therefore, A\B $\subset$ A.
I know this is a fairly easy problem. I'm just trying to learn how to write proofs the proper & correct way. My question, is this correct way to write the proof? what am I missing? Any tips to improve it?