provide a handwritten solution for each question

3. WOP. a) Apply the WOP to prove that there cannot be an infinite strictly decreasing sequence of natural numbers. b] Apply WOP to prove that, for any integers n and d. > 0, there are unique integers r' 6 {0,1,2,.. .,d. 1} and q such that n = alt; + 1'. Note: How is this a proof of the fact given in the paragraph preceeding Theorem 3.1.4