Following Exercise 3.5.9, let p1, . . . , pk be a pairwise relatively prime set of naturals, each greater than 1. Let X be the set {0, 1, . . . , p1 −1}× . . . ×{0, 1, . . . , pk −1}. Define a function f from {0, 1, . . . , p1p2 . . . pk − 1} to X by the rule f(x) = x%p1, . . . , x%pk. Prove that f is a subject