I've noticed the following phrase in a couple places in the siddur:

שֶׁתְּ֒הֵא חֲשׁוּבָה מִצְוַת _ לְפָנֶֽיךָ
כְּאִלּוּ קִיַּמְתִּֽיהָ בְּכָל פְּרָטֶֽיהָ וְדִקְדּוּקֶֽיהָ וְכַוָּנוֹתֶֽיהָ
וְתַרְיַ"ג מִצְווֹת הַתְּ֒לוּיוֹת בָּהּ

to consider [my fulfillment of] the mitzvah of _ before You as though I had fulfilled it in every detail, accurately and with full intent, and the 613 commandments that depend on it. Amein, Selah.

Once before putting on tzitzis, and once before putting on tefillin. This year I took note that it also appears before taking the four species.

I'm specifically intrigued by the phrase "613 mitzvos which are dependant upon it". What does this phrase mean? I know that tzitzis are considered equivalent to all the 613 mitzvos (Nedarim 25a), so perhaps this is a reference to that, but where do tefillin and the four species (which don't have this status) fit in?1

Does this phrase appear elsewhere in the liturgy which I am missing?

Edit: Not in standard siddurim, I did find that the Chida composed a prayer before performing pidyon haben in which he writes the same formula.

Edit2: In my Machzor for Sukkos, in the Ushpizin section, I found this formula with regards to the mitzvah of Sukkah.

1 Note that Sefaria siddur's commentary (I think the Metsudah siddur by Rabbi Avrohom Davis) on the prayer before tzitzis makes the same connection I suggested. However, they don't comment on tefillin. Perhaps this comment was taken from the Pele Yoetz, who writes similarly.



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