The Gemara answers: Rabbi Ḥiyya is speaking of a case where the brother speaks offhandedly in the context of a conversation about a different topic. It was understood from this that his brother is a Levite. This is similar to that which Rav Yehuda said that Shmuel said: There was an incident involving a person who was speaking offhandedly and said: I remember when I was a child and still young enough to be carried on my father’s shoulder, and they took me out of school, and removed my cloak, and immersed me to purify me from any possible ritual impurity, so that I would be able to partake of teruma that evening.

And Rabbi Ḥiyya, who related that incident, concluded the story and related that the man said: And my friends distanced themselves from me, and would call me: Yoḥanan who partakes of ḥallot, as it was prohibited for his friends, who were non-priests, to eat ḥalla and teruma. And Rabbi Yehuda HaNasi elevated him to priesthood based on his statement. Just as one’s offhanded statement is reliable, so too, is the offhanded statement of one’s brother.

§ It is taught in a baraita that Rabbi Shimon ben Elazar says: Just as teruma establishes the presumptive status for priesthood, so too the first tithe establishes the presumptive status for priesthood. And one who receives a share of teruma in court does not establish the presumptive status of priesthood.

The Gemara asks: First tithe is given to a Levite. How does it establish the presumptive status of priesthood? The Gemara answers: This is in accordance with the opinion of Rabbi Elazar ben Azarya, as it is taught in a baraita: Teruma is given to a priest, first tithe is given to a Levite; this is the statement of Rabbi Akiva. Rabbi Elazar ben Azarya says: First tithe is given to a priest as well. The Gemara asks: Say that Rabbi Elazar ben Azarya said: To a priest as well. Did he actually say to a priest and not to a Levite? Since it is given to both a Levite and a priest, first tithe cannot establish the presumptive status of priesthood.

The Gemara answers: Yes, first tithe can establish the presumptive status of priesthood. After Ezra penalized the Levites for failure to return to Eretz Yisrael from Babylonia, he decreed that the people should not give them first tithe. Although by Torah law first tithe may be given to both Levites and priests, after that decree, it was given only to priests. The Gemara asks: How can the presumptive status of priesthood be established? But perhaps in this case he was actually a Levite, and by happenstance they gave him first tithe. Rav Ḥisda said: With what are we dealing here? It is a case where the father of that man established the presumptive status of priesthood before us, and a rumor emerged about the son that he is the son of a divorced woman or the son of a ḥalutza. As a ḥalal, who is disqualified from the priesthood, his legal status is that of an Israelite. And it was seen that the son himself received a share of first tithe at the threshing floor.

Therefore, with regard to Levite status, it is clear that he is not a Levite, as his father is a priest. The Gemara asks: What then is there to say? Is it that he is the son of a divorced woman or the son of a ḥalutza? It is not necessary to say that according to the one who says that first tithe is forbidden to non-priests, they would not have given first tithe to the son of the divorcée, as his legal status is that of a non-priest. However, even according to the one who says that first tithe is permitted for non-priests, and therefore the fact that he received first tithe proves nothing, that halakha applies only to the fact that it is permitted for one to whom first tithe produce was distributed to provide it to non-priests. However, in the form of a share of first tithe at the threshing floor, one does not give it to a non-priest. Therefore, according to Rabbi Elazar ben Azarya, the fact that one receives a share at the threshing floor proves that he is a priest of unflawed lineage.

It is taught in the same baraita: And one who receives a share of teruma in court does not establish the presumptive status of priesthood. The Gemara asks: If in court it does not establish the presumptive status, where does it establish the presumptive status? Isn’t court the place where matters are optimally clarified? Rav Sheshet said that this is what the tanna is saying: One who receives a share of teruma from his father’s property with his brothers in court as his portion of the inheritance, in doing so does not establish presumptive status of priesthood. Even if he is a ḥalal and therefore a non-priest, it could be that he owns the teruma as part of his inheritance.

The Gemara asks: It is obvious that receiving teruma in court does not establish the presumptive status. The Gemara answers: Lest you say that from the fact that these brothers receive the teruma to partake of it, it can be deduced that that brother also receives the teruma to partake of it, the tanna therefore teaches us that these brothers receive the teruma to partake of it and that brother receives it to sell it. The fact that he may not eat the teruma does not prevent him from selling it.

§ We learned in the mishna that Rabbi Yehuda says: One does not elevate a man to priesthood on the basis of one witness. Rabbi Elazar says: In a case where there are no challengers, one elevates a man to priesthood on the basis of one witness. Rabban Shimon ben Gamliel says: One elevates a man to priesthood on the basis of one witness. The Gemara asks: The opinion of Rabban Shimon ben Gamliel is identical to the opinion of Rabbi Eliezer, as they agree that one elevates a man to priesthood on the basis of one witness when there are no challengers. And if you would say that there is a difference between them in a case where there is a challenge posed by one witness, as Rabbi Eliezer holds: A challenge posed by one witness is sufficient to undermine one’s presumptive status of priesthood and two witnesses are required to overcome that challenge, and Rabban Shimon ben Gamliel holds: An effective challenge requires two witnesses, didn’t Rabbi Yoḥanan say: Everyone agrees that there is no effective challenge with fewer than two witnesses?

Rather, with what case are we dealing here? It is in a case where the father of that man established his presumptive status of priesthood before us, and a rumor emerged about the son that he is the son of a divorced woman or the son of a ḥalutza, and therefore we downgraded him from the presumptive status of priesthood. And one witness came and said: I know that he is a priest of unflawed lineage,