The problem with this ambition is that it turns mathematics into software development. There’s absolutely nothing wrong with this per se, however what happens is that, as in software, certain ideas get ossified. That’s why, for example, every OS has a POSIX layer even though technically the process/namespace/security model could be radically reimagined possibly to create more easily engineered, correct software.
Mathematics is going through a huge, quiet, upheaval. The litmus test will be when, if ever, someone wins a Fields using a proof-assistant in an essential way.
Mathematics is going through a huge, quiet, upheaval. The litmus test will be when, if ever, someone wins a Fields using a proof-assistant in an essential way.