We need to stop giving AI credit for anything as if it’s a person. AI is a tool. When someone uses AI to perform a task, then the user gets credit, much in the way a seamstress gets credit for sowing sewing a dress using a Singer. Neither the sewing machine nor Singer get credit for the gown.
Now this doesn’t solve everything, since AI operates by taking scrapes of the internet and media, and uses this to derive a solution, the process should also include citations for all its sources, just as any proper research project would.
And so if an AI uses someone else’s proof (or partial proof) to inform its own, it should be required to provide citation. Otherwise, it’s up to other academics to repeat the research to verify what the AI did, and then they get credit, as do all cited sources.