Provia Doors are one of the best you can buy. Provia also provides a lifetime warranty on their 20 gauge galvinized steel doors. I'd go for a steel door for the basement as it will provide the best deterrent to a break in. Provia doors also come with a steel security plate that should be installed.

We installed 2 Provia Steel doors for an elderly woman a few years ago who had had several break-ins. Last year she fell asleep while smoking and the house caught on fire. A neighbor called the FD and they could not get in the house thru the 2 Provia Doors even with axes. They did get in thru a window. The Firemen wanted to know who made those doors b/c they said they couldn't believe how strong they were. Needless to say she was fine and I found out about this when she called to order 2 new doors. Said she couldn't have been more pleased and she really felt much safer.