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So I recently read that the last six Shoguns of the Kamakura Shogunate were members of the Imperial family and that during the Tokugawa Shogunate Daimyo Sakai Tadakiyo attempted to have Tokugawa Ietsuna succeeded by an Imperial Prince. So what if an Imperial Shogunate had been established? By that I mean a hereditary Shogunate led by members of the Imperial House. How could this come about and what would it look like?