Will stating a theorem in two papers result in text overlap flag on arXiv? I have two preprints to be uploaded to arXiv. In one of the papers, I cite a theorem which is proved in the other one, so the statement of the theorem is the same in both papers. Will this result in a "text overlap" comment?

Edit: What if I split up a submitted paper into two, replace the old one by the first part of the two new ones, and upload the second part separately?
No. Source: personal experience.

The overlap thing is looking for significant amounts of overlap (many many papers will contain some overlap). I don't know what the cut-off is, but one theorem statement is below it.