Although Yoritomo had such consciousness, the notion of Tenka at the time did not overcome the recognition of the emperor as a real ruler of the dynasty yet, and in fact, the emperor (or chiten no kimi [supreme ruler] as the head of the Imperial family) was expected to be the president of Tenka in many cases.
しかし頼朝がこのような意識をもっていようと、この時期の天下概念はいまだ現実の天皇の王朝支配を克服しきれておらず、天下の主宰者としては天皇（あるいは天皇家の家督者としての治天の君）が期待されている事例が多い。