Dear All,
while reading the proof of a manuscript, I noticed that the journal proofreader made a few changes I do not really understand. Therefore I would be grateful if you could enlighten me on the following:
1) By using the hypotheses of this theorem, we will prove that...
Is "by" really necessary? Is it incorrect "Using the hypotheses of ..."?
2) We will prove the main theorem by means of the *** construction i.e., we will start from ....
I always put the comma before i.e. - hence immediately after construction in the above example - or before words such as "namely". Conversely the proofreader always moved the comma after i.e. or after namely. Is is really correct?
I thank you in advance for sharing your thoughts and opinions with me