Please use an LLM and prove it yourself. Then use an LLM and prove the opposite. That's how much weight your "proofs" have. In fact, buy a premium subscription

Please use an LLM and prove it yourself. Then use an LLM and prove the opposite. That's how much weight your "proofs" have. In fact, buy a premium subscription to all the LLMs out there (yes, even LLAMA) and have them write the proof using the scientific method, and submit the papers to me via a carrier pigeon.