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The editor wrote the paper for me

I submitted a short paper and received a positive review and a negative review. The editor (he) briefly wrote the following things:

  1. He thinks my original result could be mistaken because of XYZ
  2. He presents an alternative theorem (not entirely in mathematical language but with a combination of math and English), which is similar to finer than mine
  3. He presents a sketch of proof
  4. He presents an example
  5. He adds that, if I think he is wrong, and I was right, please revise my manuscript addressing concerns of reviewers and submit again.

I thought I was right, but after working on this topic for a few more months, I find that he is actually correct. So I wrote down his theorem, proofs, and example in details. I am about to submit, but an idea jumped into my head: he should own the copyright, not me. What is the ethical way to proceed here?

Background: he is a very smart and cutting-edge researcher in my field, but he does not work on the problems in my direction, so I won't be plagiarizing his papers.

dodo
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