Horayos, 5a: For a La'av that carries a Chiyuv Kareis ? which we learn from the 'Vav' of "ve'Im Nefesh Achas ... ", which compares it to the Din of Nasi ¹ which precedes it.

Shabbos: In order to exempt from bringing a Chatas for Chilul Shabbos a. Re'uven and Shimon, in a case where, in the process of carrying an article from one domain to another on Shabbos, one of them picks it up and the other one puts it down ¹ b. Re'uven and Shimon, where they are both capable of carrying an article single-handedly, but they opt to carry it out together, and c. someone who performs a Melachah on Shabbos based on a ruling of the Sanhedrin.

Oznayim la'Torah (in 5:1): Because the Din of Eiz O Keves does not apply to a Nasi (or to a Kohen Gadol), the Korban that the Torah prescribes in the subsequent Parshiyos applies to them as well. ¹

Horayos, 2a: To preclude a Mumar, whose Korban is not accepted. ¹

Horayos, 11a: To preclude a Kohen Mashi'ach and a Nasi from bringing the Chatas of a Yachid. ²

Sifra: To teach us that, despite the Lashon Nefesh Achas, even two or three people sin, they bring a Kisbah or a Se'irah like a Yachid; and so do the majority of the Kahal who sinned, even though, if they follow the ruling of the Sanhedrin, the Sanhedrin bring a Par.

Oznayim la'Torah: Because whereas a Nasi sins due to his high position, ¹ the Hedyot sins on account of his lowliness. ² And this also explains why whereas the Hedyot may bring a lamb, ³ brings a goat ? the symbol of Ga'avah. ⁴

Shabbos, 93a: It implies "ba'Asosah" - 'Kulah, ve'Lo Miktzasah' (the whole Melachah and not part of it) - exempting two people who carry an article into the R'shux has'Rabim on Shabbos, from a Chiyuv Chatas. ¹

Seforno: Because by all Korbanos that come on account of sin, the eating of the Kohanim helps achieve a Kaparah for the owner. ¹

Refer to 4:22:2:3.