Was the Dhuhr prayer the first prayer performed by the Messenger of Allah, may Allah bless him and grant him peace, out of the five obligatory prayers?

The first prayer performed by the Prophet, may Allah bless him and grant him peace, after the five daily prayers were ordained, was the Dhuhr (noon) prayer. It was reported by Al-Hasan (definition) Al-Basri that it was the first prayer performed by the Messenger of Allah, may Allah bless him and grant him peace. It is called "the first prayer" because it was the first prayer that Jibreel led the Prophet in near the Kaaba after the five daily prayers were ordained on the night of Al-Isra (the Night Journey). It is also known as "Al-Hajeer" because it is prayed at the time of Al-Hajirah (midday heat).