MR LAX
You see the purpose of (f) is a different class of people and my point is a subtly different one which says that if you say you had authority, then that's different to having a bona fide belief that you had authority.  And in that sense, at a factual level the one excludes the other.  You can't say: "Well he gave me authority", because there's a dispute of fact now.  Either he did or he didn't.  If he didn't, then you're wrong, then you can't come in the alternative, because basically the issue goes to full disclosure.  Is he making full disclosure if he says he had authority when he didn't have authority?