User blog comment:Wythagoras/BEAF:structures and ordinals/@comment-1605058-20131210201100/@comment-1605058-20131211203803

All you have here is pretty questionable. X^^(X+1)=X^(X^^X), X^^(X+2)=X^X^(X^^X), etc. (at least by standard definition of tetration), and this suggests that this tower is equal to (X^^X)^(X^^X)^(X^^X)... Is that right? Also, lemma 1 is false, as X^^X isn't e_w+1.