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But if black king moved from e8 and the white king still has the ability to move as a knight, then it was in double check, neither of which can be discovered. This seems impossible to me (correct me if I am wrong), therefore I don't think white king would retain the ability to move like the knight, either. (The other way for the black king to lose the ability to move like a knight is if it had reached d8 from a knight move, but this is also impossible because there is nowhere for it to move from.)