User blog comment:Rgetar/Idea for FGH for larger transfinite ordinals/@comment-35470197-20190702232339/@comment-35470197-20190705043550

It is correct, but you applied FGH to ordinals without specific fundamental sequences. Of course, we usually abbreviate a system of fundamental seqeunces when there is no harmful ambiguity. On the other hand, you have no reasonable choice of a system of fundamental sequences applicable to your definition.