Interesting work. Is this a wrapper around the AUTOLEAN project (https://github.com/T3S1AMAX/autolean)?

A terminal AI coding assistant with a built-in math formalization engine — describe a problem in plain language and it converts it into a Lean 4 theorem and attempts a formal proof.

Could you provide a practical example?

There is one in the quickstart:

    mathcode -p "prove that the square of an even number is even"

https://math-ai-org.github.io/mathcode/#quickstart - if you look very closely, the screenshot at the top actually shows the output (and the solution).

Instructions:

"git clone https://github.com/math-ai-org/mathcode.git"

What a luddite! It should be "Claude, write me a math coding agent. Make no mistakes!"