I am planning to submit an article to a mathematically-oriented journal (namely: Archive for Rational Mechanics and Analysis).
I have quite a lot of results so I wrote a section "Main Results".
Question 1 In this section, the results are given as theorems, and each proof is given in another section. However, there is one simple theorem whose proof is only a few lines long. Can I provide the proof in the "Main Results" section, or is it not customary to include any proofs there?
Question 2 I am used to adding conclusions to my articles, but all the articles I read in this journal do not have any. Should I do the same and not add any conclusion (note that nothing is mentionned about this in the guidelines)?