# Ending a proof with “the result follows”.

Let's say I was writing a proof that required a lot of leg work or "rough work" in order to arrive at the conclusion. I want to show the reader (say a professor) that rough work because it's important. The actual proof after the work is trivial but long. Is it legitimate for me to (after the work) say something like, "Choose $x = \dots$, and the result will follow."?

• I feel like this is extremely subjective and depends too much on the professor. In the case of writing an article, it’s fine, but a professor likely doesn’t view you as a professional mathematician and so wants to see all of the intermediate steps, even if they are trivial. – Clayton Oct 10 '17 at 18:39
• There's a lot of missing context here. What is this proof for? A published paper, a homework exercise, ...? How trivial are the details you want to leave out? If the reader is "a professor", it might be best to ask that professor. – Robert Israel Oct 10 '17 at 18:46