For a refinanced mortgage on a second property, do my payments of that mortgage count towards use of the refinanced money, in addition to property improvements?

I am confused by the rules for a second property that was refinanced and what it takes to qualify for the interest deduction.  If i understand the rules correctly, as long as I show that the money I got out of the refinancing has been used for the property, then I can claim all of the interest and property tax.   Is that correct?  Does paying the mortgage from that money count?