Sorry to be a pain but I'm also attempting another question to ensure I get this concept around my head. It states that:
For every natural number n, if n has the property P, then so does every smaller natural number
So I have started off with just trying to get the logic down: so it is saying that for all n in N, P(n) implies that P(n) occurs for all numbers less than n. Although this does not makes sense to me since the set is "EVERY natural number" so how is there a smaller natural number? This is the sort of logic that I really struggle with.