# Why is this proof wrong?

1. Apr 10, 2014

### Vishera

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Why can't C={a1}?

2. Apr 10, 2014

### AlephZero

Which part of
don't you understand?

3. Apr 12, 2014

### halo31

The proof clearly falls apart when it is stated let Set $A$ be a set of $k+1$ numbers. These number can either be all the same, or different. Hence the proof is invalid from that point on.