Many academic papers, particularly in mathematics and similar fields, use the phrase "it is easy to see that..." (e.g. in a mathaticalmathematical proof). I never understood why this sentence is used. Such a sentence is inaccurate at best, since it is not easy for for everyoneeveryone to see; maybe it is easy for the author or to some of the readers, but there are certainly readers to whom it is not easy. Authors often try to shorten their paper as much as possible, so it is not clear why they would lengthen their paper by an inaccurate sentence.
Is there any good reason for an author to use this phrase?