Whether it is possible to accept sukhur on Oraz ayt?

According to Sharia instruction, recommends meal before an exit in a mosque for an ayt-Mohammedan prayer, transfers NewTimes.kz news agency with reference to muftyat.kz. In one of hadisov it is spoken: "On a razgoveniye holiday Allah's envoy (yes Allah will bless him and welcomes) never left (from the house on a festive prayer), without having tried food" (Tirmizi, Ibn Madzha). If to consider that the Mohammedan prayer of Ides al-Fitr is carried out when the sun is at the level of a spear, it means that the prophet (yes Allah will bless him and welcomes) ate in Oraz ayt after sunrise. That is it did not eat food on sukhur. Besides...