I would like to get the smallest element from a vector. For this I use combine the reduce and min functions. However, when providing my own implementation of min I get unexpected results:

user=> (reduce (fn [x y] (< x y) x y) [1 2 3 2 1 0 1 2])
2
user=> (reduce min [1 2 3 2 1 0 1 2 3])
0

The reduce with standard min returns 0 as expected. However, when I provide my own implementation it returns 2. What am I doing wrong?