carry forward
Also, . Transfer a bookkeeping entry to the next column, page, another account, or the next accounting period, as in Let's carry forward this loss to the next quarter for a saving in taxes, or She made an error in carrying over this column. The first term dates from the first half of the 1800s; the variant dates from the mid-1700s.
Make progress in, advance, as in His successor hoped to carry forward his work. Also see carry on.