4 ms·
> The problem with metamath is that you basically have to be a fully signed-up masochist in order to do anything nontrivial with it. People have certainly done
by dwheeler 6y ago
> The problem with metamath is that you basically have to be a fully signed-up masochist in order to do anything nontrivial with it. People have certainly done nontrivial things with it e.g Carneiro and the prime number theorem -- but it takes all sorts. If I want to prove (a+b)(a+2b)(a+3b)= a^3 + 6ba^2 + 11b^2a + 6b^3 in Lean I just type `ring`. Good luck proving that from the axioms of a ring directly in metamath, I challenge you to do it in fewer than 30 moves.
While it's allowed, generally Metamath users do not prove constructs directly from axioms, for exactly the same reason as you don't do it in Lean or traditional informal mathematics. You're right that most Metamath tools have fewer automated tactics, but there are tools with some automation, and people are working to improve that.