need help with this

Sometimes, an object is determined by understanding the functions into it, or the functions out of it. Let P and Q be posets, and let P x Q be the product poset. (a) Prove that the projection maps P x Q - P and P x Q - Q are both maps of posets. (These are the maps defined by (p, q) - p and (p, q) > q, respectively.) (b) Let W be another poset. Prove that for any poset map W " P x Q, the compositions Wa P X Q - P, W