Re: If I have been proven wrong, I will apologize to you.
IMO, in #2, someone is telling you that you are wrong, and that it's been already proved. However, you still haven't heard to the explanation, so in this case it may be justified to use the present perfect in your sentence.
PS: While reading the title, I was led to believe that you were actually addressing someone with whom you had an argument
Please be aware that I'm neither a native English speaker nor (at present) a teacher.