Combining the Prophet’s departure for prayer with the time of the iqamah and the hadith of 'Aishah

Question:
Honorable Shaykh, may Allah grant you success. He says: I am confused about how to reconcile the report that the Prophet (peace and blessings be upon him) did not go out to prayer except at the time of the iqamah, with the report from 'Aishah (may Allah be pleased with her) that the Prophet (peace and blessings be upon him), when he heard "Hayya 'ala al-salah" (Come to prayer), would stand up as if he did not know us, or did not know any of us.

Answer:
The iqamah is "Hayya 'ala al-salah" in the iqamah; it is what contains "Hayya 'ala al-salah." The iqamah is what contains "Hayya 'ala al-salah." That is, when he heard the announcement of the prayer in the iqamah, he (peace and blessings be upon him) would go out.