Question

Quick question. If n <= M for every n in N, then n - 1 <= M - 1, and n < M-1, right ?

Answer 1

N is the set of the naturals btw

Answer 2

what is M? if it is a set, how can a number n compare to a set? if it is a number, what is the set it belongs to?

Answer 3

Oops, forgot to say M is the least upper bound for N

:D

Answer 4

I don't think so, n-1\(\leq\) M -1
how can you just get rid of 1 from the left hand side to get n \(\leq\) M-1

Answer 5

I guess I was having a brain fart -.-

urg... proofs are always torture