Did it reach us that the Prophet prayed four rak'ahs before the midday prayer without a break?

May Allah reward you. He says: What is the ruling regarding the report that the Prophet (peace and blessings be upon him) prayed four rak'ahs before the midday prayer without a salam? Is it authentic?
And is the hadith authentic? And how do you reconcile between them?
This prayer of four rak'ahs after the sun has passed its zenith, without a salam, is weak. To my knowledge, it is not established. The Sunnah is to say the salam after every two rak'ahs , and this is an authentic hadith: . And in the authentic hadith from Ibn 'Umar: . And he (peace and blessings be upon him) used to say the salam in his voluntary prayers after every two rak'ahs; he used to say the salam after every two rak'ahs. Aisha (may Allah be pleased with her) said: "He used to pray ten rak'ahs at night, saying the salam after every two, and then he would complete the prayer with one rak'ah." However, it is permissible to complete the witr with five rak'ahs all at once, or with three rak'ahs all at once, or with seven rak'ahs all at once. This was reported from him (peace and blessings be upon him). But one does not pray four rak'ahs in one salam, or six even-numbered rak'ahs, or eight rak'ahs without saying the salam after every two. As for reciting the witr as three, seven, or five rak'ahs in one go, there is no harm in that. But as for voluntary prayer where one prays four rak'ahs all at once with one salam, or six rak'ahs all at once with one salam; this is contrary to the Sunnah. The Sunnah is to say the salam after every two rak'ahs.