Sifu, a question.. from Kiyomizu Gojo station to Daikokucho station

Kindly check hyperdia and see Route 3 (¥630).. i notice that we have to ride Keihan Main Line Sub-Exp. and Keihan Main Line Ltd. Exp.
I got a bit confuse here. We will use ICOCA card and from the website, Keihan line is supported but we need to buy a separate limited express ticket... Does the price of ¥400 include that? or is it just the base fare?