If one is in a state of janabah and does not perform ghusl before fajr time has entered, is his/her fasting valid?

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Yes, it is valid. Evidence for this is the narration of the Mother of the Believers, A’isha (ra), stating that the Prophet (pbuh) was at times in a state of janabah due to sexual intercourse and not due to a wet dream and the dawn broke upon him, but he neither broke the fast nor recompensed. [Agreed upon]