Lint For math
I believe that we could build a lint for math that would do what Steve’s lint did for C code: flag suspicious constructs. Perhaps this already exists—please let me know if it does. But assuming it does not, I think even a tool that could catch very simple mistakes could be quite useful.
There is lots of research on mechanical proof systems. There is lots of interest in proving important theorems in formal languages so they can be checked. See this and this for some examples. Yet the vast majority of math is only checked by people. I think this is fine, even essential, but a lint program that at least caught simple errors would be of great use.
Let me give three types of constructs that it could catch. I assume that our lint would take in a LaTeX file and output warnings.