this quantity over here so just then this is more than or equal is because we're running up here and we're getting rid of the rounding up but the rounding up is happening in a negative exponent so by getting rid of the rounding up we end up with something bigger then this thing is easy to simplify to to the log to of something is just something that's what we have here now some of the probabilities is equal to one and we are good to go we have them 2 to the minus L I sum over I saw you go to 1 which we know from