Is it true that if one perform Eid prayer he can leave the Friday prayer?
Praise be to Allah, the Lord of the World; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
If the day of Eid occurs on Jumu'ah, then the prayer of Jumu'ah becomes no longer an obligation upon those who has performed the Eid prayer. They have the choice to perform it or leave it and instead offer the Zuhr prayer. The evidence for this ruling is the Hadith narrated from Zaid Bin Arqam who said: "The Prophet (Sallallahu Alaihi wa Sallam) prayed the Eid prayer, and then he gave an exemption concerning the Jumu'ah, saying, 'Whoever wishes to pray it may pray it'. [Reported by Imams of four books of Sunan and Imam Ibn Khuzaimah graded it as sound].
Allah knows best.
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