Dear all,

I'm looking at this particular proof that is irrational. Please find it beneath my writing.

This proof by contradiction assumes that . I understand this.

However, while proving that is the contradiction, the proof uses the second boxed inequality

where

and

and so on...

However, although , it is entirely possible for AND since .

In this case then the , so the above steps and the proof itself fail?

Thank you very much for your assistance.

Proof: