Once they absorb theorem provers, they will be able to do lots of math provably correctly. That does mean they should be unable to state "I have proved theorem A in Theory T with proof merkle root R" unless they actually did just that.
Once they absorb theorem provers, they will be able to do lots of math provably correctly. That does mean they should be unable to state "I have proved theorem A in Theory T with proof merkle root R" unless they actually did just that.