It has thus been thoroughly explained that the essence of Ḥokhma is in the head of Arikh Anpin, only it is sealed in that it does not illuminate at all beneath its head. The illumination of the sealed Ḥokhma that is incorporated in the Abba and Imma, even though they do not actually receive it, is considered the Ḥokhma of the right. Upon their return to the head the Abba and Imma are called the supernal Ḥokhma.
The reason they constitute Ḥokhma, despite the fact that they do not receive it, is because their unity with Ḥokhma renders the light of giving in Abba and Imma into a complete first three.84While the Abba and Imma are not considered impaired by their ejection from the head, they are considered more complete when they are in a state of transmission of the light of Ḥokhma through them to the lower level within Bina of Yisrael Sabba and Tevuna.
This state of transmission is the Ḥokhma of the right. The Ḥokhma that illuminates in Yisrael Sabba and Tevuna is the Ḥokhma of the left, because it illuminates only in the left line. This Ḥokhma of the left is called “thirty-two paths of Ḥokhma“ (as explained in Idra Zuta 73), which is the Ḥokhma that is revealed to the Ze’er Anpin and Nukba and to the lower levels below Atzilut.