(a) Abu Bakr bin Abi Musa narrates from his father (may Allah be pleased with him) that a man came to the Prophet (peace and blessings be upon him) and asked about the times of prayer, and he (peace and blessings be upon him) gave him no answer. Then he ordered Bilal (may Allah be pleased with him), who called the iqamah when the dawn broke, and he (peace and blessings be upon him) led the prayer. Then he (peace and blessings be upon him) ordered him, and he called the iqamah for Zuhr while someone was saying: Has the sun declined or not? And he (peace and blessings be upon him) knew better than them. Then he (peace and blessings be upon him) ordered, and he called the iqamah for Asr while the sun was high. Then he (peace and blessings be upon him) ordered, and he called the iqamah for Maghrib when the sun had set. Then he (peace and blessings be upon him) ordered, and he called the iqamah for Isha at the time the redness of twilight disappeared. Then the next day he prayed Subh while someone was saying: Has the sun risen or not? And he (peace and blessings be upon him) knew better than them. And the next day he led Zuhr close to the time of the previous day's Asr, and led Asr while someone was saying: The sun has turned red; and he led Maghrib before the redness of twilight disappeared, and led Isha in the first third of the night. Then he said: "Where is the one who asked about the time? Between these two times is the time of prayer."
(b) In Sahih Muslim it says: Then he (peace and blessings be upon him) delayed Zuhr until he offered it close to the time of the previous day's Asr.
(c) In this there is evidence for the correctness of the interpretation of Imam al-Shafi'i (may Allah have mercy on him).
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصلاة / 1713