Before revision: These are types of judgements described in this example, which must terminate, because of the place where no further "judgements of reduction" of a certain quality (in this case, non-unity integers dividing integers into non-unity integer quotients) can occur.
After revision: These are types reaching judgements described in this example, which must terminate, because of the place where no further "judgements of reduction" of a certain quality (in this case, non-unity integers dividing integers into non-unity integer quotients) can occur.