thus Sum (digits (4700,10)) = (Sum <%0,0,7%>) + (Sum <%4%>) by Th1353, AFINSQ_2:55
.= ((Sum <%0,0%>) + (Sum <%7%>)) + (Sum <%4%>) by AFINSQ_2:55
.= ((0 + 0) + (Sum <%7%>)) + (Sum <%4%>) by AFINSQ_2:54
.= ((0 + 0) + 7) + (Sum <%4%>) by AFINSQ_2:53
.= 7 + 4 by AFINSQ_2:53
.= 11 ; :: thesis: verum