"Is this really a proof?" is the exact question e-mailed to me today from an undergraduate mathematics student whom I know as a highly competent student. The one sentence question was accompanied with the following demo: ![enter image description here][1] I am looking for a down-to-earth, non-authoritative answer who one may give to such a student. What would be your answer if you were faced with such a question? **Update.** Before the question gets closed , I should stress that the question wasn't (isn't) for you in the sense that whether you think it is a proof or not. Of course, the answer to such a question is as clear as the daylight for MO users. The question was (is) what your **constructive** answer would be **to such a student** if you were faced with such a question. **Second Update** "The question" at the first line of the first update refers to the original title: "Is this really a proof?". Now that the title has changed, the meaning of the first update has also changed! [1]: https://i.sstatic.net/aN3Uy.gif