What is the evidence for the recommendation of fasting on the eleventh of Muharram after the day of 'Ashura?
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Question:
He says: Honorable Shaykh, may Allah grant you success. He says: You mentioned, may Allah preserve you, evidence for fasting on the ninth day along with the tenth day in 'Ashura, so what is the evidence for fasting on the eleventh day?
Answer:
A narration says, "or a day after it," fast a day before it, and in a narration, "or a day after it." Yes. But the narration of a day before it is more authentic, they say. Yes.
He says: Honorable Shaykh, may Allah grant you success. He says: You mentioned, may Allah preserve you, evidence for fasting on the ninth day along with the tenth day in 'Ashura, so what is the evidence for fasting on the eleventh day?
Answer:
A narration says, "or a day after it," fast a day before it, and in a narration, "or a day after it." Yes. But the narration of a day before it is more authentic, they say. Yes.
Source
قناة «العلامة الدكتور صالح الفوزان»، [3436/905] ما الدليل على استحباب صيام الحادي عشر من محرم بعد يوم عاشوراء؟ - الشيخ صالح الفوزان — youtube.com
The Arabic text is a machine transcription of the audio recording.