One of the most significant effects of the Coral Sea battle was the loss of and to Yamamoto for his planned battle in the air with the U.S. carriers at Midway ("Shōhō" was to have been employed at Midway in a tactical role supporting the Japanese invasion ground forces). The Japanese believed that they sank two carriers in the Coral Sea, but this still left at least two more U.S. Navy carriers, "Enterprise" and "Hornet", which could help defend Midway. The aircraft complement of the U.S. carriers was larger than that of their Japanese counterparts, which, when combined with the land-based aircraft at Midway, meant that the Combined Fleet no longer enjoyed a significant numerical aircraft superiority over the U.S. Navy for the impending battle. In fact, the U.S. would have three carriers to oppose Yamamoto at Midway, because, despite the damage the ship suffered during the Coral Sea battle, "Yorktown" was able to return to Hawaii. Although estimates were that the damage would take two weeks to repair, "Yorktown" put to sea only 48 hours after entering drydock at Pearl Harbor, which meant that she was available for the next confrontation with the Japanese. At Midway, "Yorktown"s aircraft played crucial roles in sinking two Japanese fleet carriers. "Yorktown" also absorbed both Japanese aerial counterattacks at Midway which otherwise would have been directed at "Enterprise" and "Hornet".