If a Bas Yisrael comes to light from a Kohenes' Ner, she may dip her wick in Shemen Sereifah and light.

(Rav Huna citing R. Yanai): It was a time when wolves were rampant. (If a Bas Yisrael needed to leave a Kohenes' house at night, Chachamim permitted her to absorb some Shemen Sereifah in her wick to illuminate the way for her, due to the danger - PNEI MOSHE.) Beis Din did not annul this Heter [after the danger passed. This is like a matter forbidden through a vote. Another vote is needed to permit it, even if the reason for the Isur no longer applies - ALEI TAMAR.]

Just like you say there (when Yisraelim were coerced to pay taxes to the king, they permitted a field that was plowed in Shevi'is, even after the coercion ended it is permitted, for) Beis Din did not annul [the Heter - SHLOMO SIRILIYO, Shevi'is 4:2], also here Beis Din did not annul.

If a Kohen's cattle were by a Yisrael, or if [a Kohen's] garment was being woven in a Yisrael's [home], he may light Shemen Sereifah due to him (the Kohen benefits from this), and he is not concerned.

If a Yisrael and Kohen were partners in a store, the Yisrael may fill a lamp with Shemen Sereifah and ascend to the Aliyah with it and descend with it to the store to do the Kohen's needs, but not the Yisrael's needs.

If a Kohen comes to a Yisrael to make a calculation with him, and he lit due to [the Kohen] Shemen Sereifah, even though the Kohen went away, we do not obligate [the Yisrael] to extinguish it. [Rather, he may benefit from it] until it extinguishes by itself.

R. Chananyah bar Achbari (a Yisrael) went to work by R. Chiya of Tziporiya (a Kohen). When he wanted to leave, [R. Chiya] filled a lamp for him with Shemen Sereifah.

Question: Did we not learn that [Terumah may be used] to do needs of a Kohen, but not needs of a Yisrael?

Answer: If he would not do do, [R. Chiya] would not come [another time, so it is needs of a Kohen].

Assumption: When he came to his house, he extinguished it.

Rejection (R. Chanina): Through the lamp, he was able to go to sleep promptly and rise early (when it was still dark, so it was needs of a Kohen).

Question (Ada Shimsha, to R. Ami): If I dip a wick in Chulin oil (can I use it in a lamp of Shemen Sereifah for Ner Shabbos? Below, we permit a mixture of Chulin and Terumah.)

Note: Presumably, Ada was a Kohen, or Kohanim would benefit from it. We do not permit Bitul of Shemen Sereifah to allow Yisraelim to use it.)

Answer (R. Ami): [Oil on wicks] is Batel to the wicks.

R. Yudah bar Pazi ruled to people of Bar Nechemyah's house like this.

R. Ami dipped a wick [in Shemen Sereifah]. R. Liya did not dip a wick [in Shemen Sereifah].

Note: Surely, this R. Ami is not the colleague of R Asi (they were the greatest Kohanim of Eretz Yisrael), rather, a Yisrael named R. Ami. In Terumos 11:5, the text says "R. Imi.''

Question: Does R. Liya not agree to R. Ami (that oil on a wick is Batel to the wick?! We explained this like R. SHLOMO SIRILIYO, Terumos 11:5.)

Answer: [R. Liya] was concerned for theft. This was not according to letter of the law. Rather, there was an attendant in the house [and if R. Liya would use Shemen Sereifah, the attendant] would disgrace Kodesh.

Question (Gamliel Zuga, to R. Asi): May [a Yisrael] add Chulin oil [to be a majority over Shemen Sereifah] and light it?

Answer (R. Asi): Didn't R. Hoshayah teach that [a Yisrael] need not squeeze out [residues of Shemen Sereifah left in a lamp, but if there is intact Shemen Sereifah, he may not add Chulin to be Mevatel it]?!

(R. Avahu citing R. Yonason Achmai): If a Bas Kohen was standing on Erev Shabbos close to dark holding a lamp with Shemen Sereifah, she adds any amount of Chulin oil and lights.

R. Ze'ira (to R. Avahu): What is the status [of R. Yonason Achmai? Can we rely on him]?

R. Avahu: He is a great Chacham, and expert in our Mishnah, and R. Chiya of Kefar Tachamin explained [R. Yonason's teaching] in front of Rebbi, and he appointed [R. Yonason] to be a Chacham (i.e. he gave to him Semichah).

Question: We find that Rabanan go before [R. Yonason to enter] for Ibur Chodesh!

Answer (Rav Nachman citing R. Mana): It is a Mitzvah to go earlier in order to be zealous in Mitzvos. (There is a Mitzvah to defer to R. Yonason, for he was appointed. It is equal to the Mitzvah to be zealous in Mitzvos. One may choose either Mitzvah. Had he not been appointed, the only Mitzvah would be to go earlier. We explained this like RIDVAZ.)