let e be epsilon Ordinal; :: thesis: exp (omega,(exp (e,omega))) = exp (e,(exp (e,omega)))
thus exp (omega,(exp (e,omega))) = exp (omega,(exp (e,(1 +^ omega)))) by CARD_3:116
.= exp (omega,((exp (e,omega)) *^ (exp (e,1)))) by ORDINAL4:30
.= exp (omega,((exp (e,omega)) *^ e)) by ORDINAL2:63
.= exp ((exp (omega,e)),(exp (e,omega))) by ORDINAL4:31
.= exp (e,(exp (e,omega))) by EPSILON ; :: thesis: verum