唯一性的证明 Uniqueness of q and r.Suppose there exist integers r,r',g,and q'such that a=bq+T,0≤T<b and a=bg+r',0≤r'<b. Then bq+r=bq'+r'.Assume that r'>r.From the last equation we have b(q-q)=r-r;therefore,b must divide r'r and 0<r'-r<r'<b. This is possible only if r'-r=0.Hence,=r'and g=q'. 在数论相关证明中，整除时时出现！唯一性的证明 在数论相关证明中，整除时时出现！