I am preparing to write an article. For that, I got an easier proof of the already published result. My result is very simple to prove. Is it ethical to include this result in my article after citing the other author's work that we are improving their result? Kindly help. Thanks a lot.
Answer
Yes.
New proofs are always good and of scientific value, and may be of significant use and interest in their own right. In some cases they are even worthy of a paper of their own. As an example, just recently on MathOverflow I saw Zhi-Wei sun mention that a result of his currently has 6 proofs from 6 different papers and sets of authors (including his own and himself).
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