sqt - qtddtot

No.10473981 ViewReplyOriginalReport
I can't find a SQT or a QTDDTOT, so let me start one for you because I have a pretty stupid question. How do you prove that a strictly increasing function on {1,2,...,k} for a fixed finite k is necessarily the identity function? I can see very easily that it is true but I can't for the life of me find a neat proof.