So in one of my writings, I happen to have to write something like "Under the assumptions of a theorem for so-and-so method appearing in so-and-so paper". What I am intending to say can be decomposed into "under the assumptions of a theorem", "this theorem is about a given method", "the theorem appears in a given paper". I am not sure if the current combination of mine reads clear to a native US English speaker? If not, please show me a clearer way so that, not only I can write better what I would like to express, but I could have a better feeling about the clarity in general. Thanks.