[lachenmayer]

That would be an extremely good thing to explain in the introduction. I feel like this kind of very culturally-specific usage of everyday words is what makes math/CS papers so impenetrable for many people.

The word "easy" is another example: saying "it is easy to show X" (just?) means that X can be derived from the already stated theorems in a more-or-less mechanical way without having to introduce new concepts. It does not in any way suggest that deriving this will be "easy" for a student reading the paper.

(Of course the most challenging "easy" parts are best left as an exercise for the reader anyway...)