Are paraphrased theorems allowed?

Question

In writing maths papers, if I want to present a theorem or definition from some other paper, would it be acceptable to cite the author and then present a paraphrased version of the theorem/definition in my paper? Note that the theorem is actually quite lengthy.

For example:

We make use of the theorem 5.4 by Anotherauthorname (Year).

{Begin Paraphrased theorem

..... .....

End Paraphrased theorem}

Or is this considered some kind of plagiarism?

Answer 1

No it is not plagiarism to paraphrase another's theorem, provided you cite the author and source fully.

For example, in addition to your reference to said author in the paper itself (name, year of publication), as you have mirrored in your post, include a full reference at the end of your paper, among your listing of other references.

Just be careful to paraphrase in a manner that conveys the spirit and substance of the theorem you're citing.