What is the general design of these new math solving systems? [D]

Explain Like I'm Normal

New systems like DeepSeek-Prover and OpenAI's internal math models are bypassing hallucinations by using LEAN, a formal verification language, as a 'ground truth' sandbox. The model generates code-based proofs, a compiler checks them for errors, and the system iteratively builds a massive logical chain that is mathematically impossible to fake. This moves AI from 'vibes-based' guessing to verifiable symbolic reasoning.