now lambian that was the most incredible display of credibility that i have seen in the past months and after writing somewhere around posts or whatever that is exactly the same conclusion as my proof because the proof i wrote comes to the same equality of t and t' in the results also this is that both equations are the same exact equal situation with v l t's and everything else equal but you are as right as right gets that yours is an incredibly simpler proof and just for that you get added to my incredible person list hmmm you are the only one on it at the moment but hey you're right there at the top of the incredible list in any case and good for your truly incredible self