iIf is an injection which satisfies then for

Results 1 to 2 of 2

- Jul 16th 2010, 10:21 AM #1

- Joined
- Feb 2009
- From
- Chennai
- Posts
- 148

- Jul 16th 2010, 01:15 PM #2
Proof by contradiction: Suppose that for some x, say where Then , so that .

Now repeat the same argument with in place of x, to see inductively that for n=1,2,3,... . But for n large enough, will be negative (if ), or greater than 1 (if ). In either case that gives a contradiction.