Thank you for such a thorough and detailed explanation. I regret to say that I am not astute enough on the subject matter to render the messages comprehensible to me. I think I'm more comfortable with concrete examples using colors. However, what I'm hesitant on is now that the blueprint for the basic pattern for the theorem seems to have been deteremined, I don't want that to be yet another plateau that offers a glimpse of hope only to realize that there are still bigger hurdles to consider before the next plateau may be had. My hunch is that will have to be the case. This I avoid as long as I could stand.