TITLE: Style of mathematical writing vs. too many lemmas
QUESTION [21 upvotes]: I work in PDEs. I have now written 3 papers. I find my style is of the form: introduction, statement of results, paragraphs to introduce something, lemma, more text, lemma, more text, lemma, more text, theorem, concluding remarks (I missed the proofs).
I am getting sick of this type of writing. I want to write my next paper with more style and elegance than something which looks like the output from a workhouse. 
For example I have seen papers where they come up with some interesting result which they don't put into a lemma but instead put it in a paragraph. When I cite such a thing, I say something like "see the paragraph on page 10 of [1]" so I think it is a bad idea to put results outside environments. 
Does anyone have any ideas? Basically I want to write a more unpredictable paper instead of the usual routine which I wish to take myself out of. This is good because readers will also find it more interesting.

REPLY [9 votes]: The mathematical papers I find most enjoyable (as well as accessible) are those written in order of increasing technicality.  So, consider an order along the lines of Introduction and Conclusion (containing motivation, related work, main ideas, informal statement of results and applications, interesting open problems).  Essential definitions. Formal statement of results.  Applications/corollaries.  Further definitions. Elementary arguments (may be several sections).  Technical estimates (may be several sections).  Of course, the logical dependences require careful cross-referencing.