Quote:
Originally Posted by princeps
Yes , you have missed condition :

I noticed this shortly after uploading post.
I cannot compare your work with work of Inkeri, which I do not know. I have few editorial remarks, which may be useful for you.
Everywhere you use sign of equivalence but in Lemma 2.1. you use sign of equality.
I would, in your place, specify the range of x, y, in Lemma 2.1., since you use Lemma 2.1. for noninteger elements.