::So there is one more thing I don't know an easy way to check. Right now it claims Hartogs proved without AC that there's a least wellordered cardinal not less than or equal to a given cardinal. The result certainly holds but I don't actually know whether Hartogs proved it; from the information I currently have it seems possible that Hartogs proved only that there's a least wellordered cardinal greater than a given wellordered cardinal. I suppose I could look up your ref and try to puzzle through it with my weak German, but if you have more information perhaps you could clarify.