This is like what happens when we put on tefillin: We connect our mind to Hashem’s Chochma of Atzilus, bringing it down into our mind. Similarly, Hashem connects Himself, as it were, with His Wisdom in Atzilus, on a much deeper level than He is usually connected to it, which then comes down to us as well through our tefillin down below.
And similarly with the other “mitzvos” of Hashem that He “does”:
ש ודָּקַה ל ש ת וְצִּּמַה רָּאְ ש ה זְך ר ּד לַעְו,אּוה־ךּורָּּב
They are processes through which Hashem brings down His Infinite Light to become invested into the Spiritual Worlds Above, mainly into the World of Atzilus which is “Above” the created worlds, ־ךּורָּּב ף וס־ןיֵא ר ואֵמ ת וכָּ שְמַה ןֵה הוּא בְּעו לָּמו ת ע לְיו נִּים,
And that is where His Infinite Light is drawn down, revealed, and becomes invested into His attributes, such as Chochma-Wisdom and Chesed-Kindness, so that “Hashem Himself who is united with His Life-Giving Light is also similarly united with His Keilim-Attributes.”
ף וס־ןיֵא ר וא תַכָּ שְמַה יּוּליִּּג םָּ שְו הָּמְכָּחְּב ותּו שְּבַלְתִּהְו אּוה־ךּורָּּב ,דָּח יִּה וּיַחְו ּוהיִּא" תַניִּחְבִּּב ,ד ס חְו אִּיהוּ וְגַרְ מו הִּי חָּד".
This type of revelation of Hashem, in Atzilus, is called the “mitzvos that Hashem does.” Instead of His usual revelation in Atzilus, through His Mitzvos, He reveals Himself in His Attributes on an infinitely deeper level. It is this type of mitzvos that Avraham Avinu accomplished, since through his mitzvos he caused Hashem to be revealed in Atzilus on deeper level.
