how to prove some one that you are not wrong. only their thinking is wrong

That's a really difficult position to be in. Sometimes in the amount of time spent trying to prove your innocence, you actually make yourself look more guilty. Have you ever caught some one in a lie to you, only to find that they are so vocal about their innocence, that you just KNOW that they aren't? Unfortunately, there isn't a sure-fire way to accomplish your desire. Trying different methods may work sometimes, and not other times. I will list a few ideas, all of which I have used before. Sometimes successfully, other times not. 1.) Put your thoughts in writing and deliver it when the other party can read it while you aren't there. This is a non-confrontational way of getting your thoughts across. Some people respond better to written words than spoken words. 2.) Have a third person that you both trust act as a mediary between you. This can be a trusted friend, a family member, or other trusted person. 3.) Allow a day or two for both of you to 'cool off'. Then get together to discuss what ever it was that happened (or didn't happen). 4.) If this is your GF...chocolates are always a good idea. Doesn't necessarily work, but she'll like them. I'm sure that others will be giving some ideas that aren't listed here. I wish you good luck with whatever you choose.