For my current book project, it turns out that a classic theorem about likelihood ratio tests, called Wilks' Theorem, is important. So, I was looking for a relatively simply proof. Finally, today I put the query to ChatGPT o3-mini, and it produced the attached, including the nicely formatted Latex -- which I complled.
(The only edit I made was to the blank "author" slot; all the remaining argument/formatting/presentation is due to the chatbot).
Also, while I knew what [$]O(1)[$] meant, I wasn't sure about [$]O_p(1)[$], so you can see my follow-up and the answer. I was quite impressed!