Is there a prayer in Islam called Salatul Ishraq, and is the Hadith that speaks of the reward of a Hajj and Umrah for whoever prays Fajr and then remains in his prayer place remembering Allah until the sun rises and he prays two rak'ahs authentic, and is this reward restricted to the mosque only, and what is the ruling if the mosque closes immediately after the prayer, and is it permissible to perform this prayer at home with the same reward mentioned in the Hadith?

Ishraq prayer consists of two rak'ahs performed after the sun has risen and ascended. It is preferable for the worshipper to remain in their prayer place after performing Fajr prayer in congregation and engaging in remembrance of Allah until the sun rises. Many jurists consider the Ishraq prayer to be the same as the Duha prayer, while others believe they are distinct and that Ishraq occurs at the very beginning of the Duha time. The prophetic hadith regarding its virtue — "Whoever prays Fajr in congregation, then sits remembering Allah until the sun rises, then prays two rak'ahs, will have a reward like that of a complete, complete, complete Hajj and Umrah" — has differing views on its authenticity, but some scholars have deemed it hasan (good). Its minimum number of rak'ahs is two, with no limit to its maximum. If it is difficult for the worshipper to remain in the mosque after Fajr, they will still receive the reward for this prayer if they perform it in their home.