Now, when I do this, I find:
Basis of which is equal to . Which is the same basis as .
If the basis of each field is shown to be equal, are the fields equal? It seems like an obvious yes to me, but I would like to someone else to confirm this thought if possible. I cannot find it in my text or any other resource online. Also, if someone feels like double-checking the basis for each, I would appreciate it.