Proves? In what sense? In a legal case, no. A court would require the actual document. But he could hardly order a certified copy be sent to every American could he? For the public it is posted online.
"It is telling, however, that he would not submit that same document to any court in response to any of these cases."
Has any court asked for it? Have any of these cases even been heard?
"Does it bother you that presidential candidates are not vetted for constitutional eligibility?"
I'm not sure that there weren't ANY jurisdictions that failed to do so, but to the extent that they don't, yes it bothers me. I would like to see laws passed enforcing the constitutional requirements.
I’m glad to hear that you have a problem with candidates not showing their birth certificates in order to get on the ballot.
I’m also glad to hear that you agree that Obama’s mailing a likeness of his abstracted B.C. was for show only, a meaningless, empty gesture. I cannot imagine why you are talking about him mailing a copy of it to every American. More obfuscation, perhaps?