At first I apologize my horrible English; it's not my native language.

I need little help with these exercises:

1. Let m and n be natural numbers such that m < n. Show that there exists natural number p, that n =m + p+

2. Let n be a natural number and let f:n+ -> w (omega) be function. Prove that set ran(f) has the largest member.

(p+ means the follower of the number p; n+ means the follower of the number n)