transformer is applying a hopfield network update rule uh to convergence so yeah i'm not yeah i might be bickering on a high level here luxury problems theorem five then says so theorem four is how fast does this converge um theorem five the last theorem right here uh says that the retrieval error of a pattern and so this is the this is what you converge to and this is what you've stored um is bounded by again something that's exponential in the separation right here as you can see okay so that was the theorem so if we go