The Tosefta continues: Piggul is an offering disqualified by the improper intention during the performance of the four sacrificial rites to sacrifice it or eat it after its appropriate time; and notar is the flesh of a sacrifice that is left over beyond its allotted time. The Sages decreed ritual impurity on both, and both, as well as sacrificial meat deemed ritually impure by Torah law, may not be eaten and must be burned. Beit Shammai say: They may not be burned together, as in doing so the piggul and notar, which are impure by rabbinic law, will come into contact with meat impure by Torah law, adding impurity to their impurity. And Beit Hillel say: They may be burned together.

The Gemara returns to the issue under discussion: And if it enters your mind that Rabbi Meir is saying that he derives his opinion from the statement of Rabbi Yehoshua, why does Rabbi Yosei respond to him from the statement of Rabbi Ḥanina the deputy High Priest? Rav Naḥman said to him: Rabbi Yosei did not have Rabbi Meir’s reasoning in mind, as he did not understand Rabbi Meir’s reasoning. As Rabbi Yosei maintains that Rabbi Meir is saying to him proof from the statement of Rabbi Ḥanina the deputy High Priest, and Rabbi Meir said to him: I am stating my proof from the statement of Rabbi Yehoshua.

And Rabbi Yosei said to Rabbi Meir in response: And even according to Rabbi Yehoshua, that is not the inference from which the halakha of burning pure and impure leavened teruma together can be learned, as Rabbi Eliezer and Rabbi Yehoshua concede that one should burn this meat by itself and that meat by itself, as stated in the mishna. From an analysis of the mishna and the Tosefta, it is possible to reconstruct the original dispute.

The Gemara raises a difficulty with regard to the above statement: But why does Rabbi Yosei say: That is not the inference from which it can be learned? On the contrary, it is a perfectly legitimate inference. In both cases the dispute is the same: Is one permitted to actively render an object impure preemptively if it will ultimately be destroyed regardless?

The Gemara rejects this contention: The case there, of the broken barrel in the upper press, where according to Rabbi Yehoshua it is permitted to actively render the teruma impure, is different, as in that case there is the potential loss of non-sacred produce. If one does not render the teruma in the upper press impure by receiving it in impure vessels, it will flow down and render the impure, non-sacred wine in the lower press impure teruma. However, in the case of leaven, no loss will be incurred. Why, then, shouldn’t each teruma be burned independently?

Rav Yirmeya strongly objects to this claim: In the mishna, too, there is the loss of wood, as one requires additional wood to kindle a second fire and burn the impure teruma separately. A certain Elder said to him: With regard to this and similar issues, the Sages were concerned about a great loss; however, they were not concerned about the minimal loss of several pieces of wood.

Rabbi Asi said that Rabbi Yoḥanan said: This dispute between Rabbi Meir and Rabbi Yosei refers to the sixth hour, when leaven is prohibited by rabbinic decree. However, in the seventh hour, when leaven is prohibited by Torah law, everyone agrees that one may burn ritually pure leavened teruma together with impure leavened teruma.

Rabbi Zeira said to Rabbi Asi: Let us say that Rabbi Yoḥanan maintains that the mishna is referring to an object that is a primary source of impurity by Torah law and an object that is a secondary source of impurity by rabbinic law. And what is the meaning of Rabbi Meir’s statement: From their statements? He meant from the statement of Rabbi Ḥanina the deputy High Priest, as explained above. The dispute refers to a rabbinic prohibition, e.g., a secondary source of impurity or the obligation to burn leaven during the sixth hour. In a case where the leaven is not yet prohibited by rabbinic law, e.g., in the fourth or fifth hour, even Rabbi Meir agrees that one may not burn ritually pure and impure teruma together.

Rabbi Asi said to him: Yes, Rabbi Yoḥanan indeed interprets the mishna in this manner. It was also stated explicitly that this is the case, as Rabbi Yoḥanan said: The mishna is referring to an object that is a primary source of impurity by Torah law and an object that is a secondary source of impurity by rabbinic law. And what is the meaning of: From their statements? It means from the statement of Rabbi Ḥanina the deputy High Priest. And the dispute between Rabbi Meir and Rabbi Yosei is with regard to the sixth hour, when leaven is prohibited by rabbinic law. However, everyone agrees that in the seventh hour one may burn them together, as both pieces of leavened teruma are prohibited by Torah law.

The Gemara suggests: Let us say that the end of the baraita supports Rabbi Yoḥanan’s assertion that even Rabbi Yosei agrees that it is permitted to burn together two objects prohibited by Torah law. As the baraita states with regard to piggul, notar, and ritually impure sacrificial meat that Beit Shammai say: They may not be burned together, and Beit Hillel say: They may be burned together. All of these items are prohibited by Torah law, and Rabbi Yosei would agree that the halakha is in accordance with the opinion of Beit Hillel.

The Gemara rejects this contention: It is different there, as piggul and notar are ritually impure by rabbinic law, and therefore Rabbi Yosei would agree that they may be burned together in that case. That is not true in the case of leaven in the seventh hour, which is not impure even by rabbinic law, although it is prohibited by Torah law. As we learned in a mishna: Piggul and notar, leftover sacrificial flesh, render one’s hands impure by rabbinic decree.

The Gemara suggests: Let us say that the following baraita supports Rabbi Yoḥanan’s opinion: With regard to bread that became moldy and is no longer fit for a person to eat, but a dog can still eat it, this bread can become impure with the ritual impurity of food if it is the size of an egg-bulk, as it is still classified as food. If it is pure leavened teruma, it is burned with impure teruma on Passover eve. Since the moldy bread is no longer edible, it is not necessary to refrain from burning it together with impure items. Apparently, this is Rabbi Yosei’s opinion, as Rabbi Meir maintains that pure and impure teruma are burned together even if neither is moldy. Since Rabbi Yosei concedes in the case of moldy bread, the same should apply to leavened teruma after the seventh hour, which is prohibited by Torah law.

The Gemara rejects this contention: It is different there, in the case of moldy bread, as it is for all intents and purposes mere dust, and its legal status is no longer that of food.

The Gemara asks: If so, that Rabbi Meir’s proof is based on the statement of Rabbi Ḥanina the deputy High Priest, why does the mishna mention that Rabbi Eliezer concedes to Rabbi Yehoshua? The Gemara explains that this is what Rabbi Yosei is saying to Rabbi Meir: Even according to Rabbi Yehoshua, who rules leniently in this case, when he rules leniently it is with regard to burning teruma in abeyance together with impure teruma; however, with regard to burning pure teruma and impure teruma together, no, he does not permit doing so.

The Gemara raises a difficulty: If so, that Rabbi Meir’s proof is based on the statement of Rabbi Ḥanina the deputy High Priest, why did Rabbi Yosei say: That is not the inference from which it can be learned? On the contrary, it is a perfectly legitimate inference. According to Rabbi Meir, pure teruma is prohibited during the sixth hour by rabbinic law. Just as Rabbi Ḥanina holds that one may actively transmit impurity to an object that is impure by rabbinic law by burning it together with an object that is impure by Torah law, so too, according to Rabbi Meir one may transmit impurity to an item prohibited by rabbinic law by burning it together with an item that is impure by Torah law.

Rabbi Yirmeya said: Here, the mishna is referring to meat that became ritually impure through contact with a secondary source of impurity by means of liquids that became impure due to contact with a creeping animal and thereby assumed second-degree ritual impurity. And Rabbi Meir conforms to his standard line of reasoning, and Rabbi Yosei conforms to his standard line of reasoning.

Rabbi Meir conforms to his standard line of reasoning with regard to this issue, as he said: The ritual impurity of liquids with regard to transmitting impurity to other objects is by rabbinic law. The meat that became impure through contact with a secondary source of impurity is in fact entirely pure by Torah law. Therefore, he learns from the mishna that it is permitted to burn pure and impure items together.

And Rabbi Yosei conforms to his standard line of reasoning, as he said: The ritual impurity of liquids with regard to transmitting impurity to other objects is by Torah law. Accordingly, the meat that Rabbi Ḥanina the deputy High Priest referred to in the mishna was impure by Torah law. Therefore, this case cannot serve as a precedent for the claim that it is permitted to burn pure and impure teruma together on Passover eve. As it was taught in a baraita: