Beitzah 12B

משום הבערה.

due to the prohibition of kindling a fire on a Festival.

אמר ליה: פוק תני לברא, הבערה ובשול אינה משנה. ואם תמצא לומר משנה ⁠— בית שמאי היא, דאמרי: לא אמרינן מתוך שהותרה הוצאה לצורך הותרה נמי שלא לצורך. הכא נמי, לא אמרינן: מתוך שהותרה הבערה לצורך, הותרה נמי שלא לצורך.

R' Yoḥanan said to that tanna: Leave and teach it outside, i.e., this baraita is not fit for discussion in the study hall. The opinion that there is a prohibition against kindling and cooking on a Festival is not a Mishnah worthy of serious consideration. And if you say that it is a Mishnah rather than an error, this statement is still not in accordance with the halakha, as it is following the opinion of Beit Shammai, who say: We do not say: Since carrying out was permitted on a Festival for the purposes of food preparation, it was also permitted when performed not for these purposes. Here, too, we do not say: Since kindling was permitted on a Festival for the purposes of food preparation, it was also permitted when performed not for these purposes.

דאי בית הלל ⁠— כיון דאמרי מתוך שהותרה הוצאה לצורך הותרה נמי שלא לצורך, הכא נמי: מתוך שהותרה הבערה לצורך ⁠— הותרה נמי שלא לצורך.

The Talmud explains why the baraita cannot be attributed to Beit Hillel. If one were to suggest that this baraita follows the opinion of Beit Hillel, this cannot be the case, as they say: Since carrying out was permitted for the purposes of food preparation, it was also permitted when performed not for these purposes. Here, too, since kindling was permitted for the purposes of food preparation, it was also permitted when performed not for these purposes. Therefore, according to the opinion of Beit Hillel, kindling cannot be included amongst those prohibitions for which one is liable on a Festival.

מתני׳ בית שמאי אומרים: אין מוליכין חלה ומתנות לכהן ביום טוב, בין שהורמו מאמש, בין שהורמו מהיום. ובית הלל מתירין.

Mishnah: The separation of ḥalla is permitted on a Festival, as one is permitted to prepare dough and bake it on a Festival, and bread may not be eaten without first separating ḥalla. Beit Shammai say: One may not bring separated ḥalla or any of the other priestly gifts, i.e., the foreleg, the jaw, and the maw of a slaughtered animal, to a priest on a Festival, though it is permitted to separate them from an animal slaughtered on a Festival. This is prohibited regardless of whether they were separated last evening, i.e., before the Festival, or whether they were separated today. And Beit Hillel permit it.