Tosefta for Chagigah 34:5
ואי אשמעינן בהא בהא קאמרי ב"ה משום דלא אפשר למחר אבל בהא אימא מודו לב"ש צריכא
And if [the Mishnah] only taught us this [first statement regarding the possibility of a make-up slaughtering day, we would think that] in this case, the House of Hillel say [that there is no slaughtering day], because it is impossible to bring them the next day; but here [in a normal case], they would agree with the House of Shammai [that one may not bring the offerings on Yom Tov].
Tosefta Chagigah
We do not bring a thanksgiving offering on the Festival of Matzah (i.e., Passover), because of the chametz that is in it (see Lev. 7:13), nor on Shavuot because it is a Day of Slaughter ("יום טבוח", cf. Tos. Chagigah 2:7, Chag. 17b:2-6; alt. "יום טוב" ("[it is a] Yom Tov"), see Beitzah 19b:2 and GR"A here), but it is brought on the Festival of Sukkot, and one fulfills his obligation [of bringing a Festival offering] with it. Rabbi Shimon says, we do not bring a thanksgiving offering on the Festival of Sukkot, because everything that is brought on the Festival of Matzah [also] is brought on the Festival of Shavuot and the Festival of Sukkot. [Thus] a thanksgiving offering, which is not brought on the Festival of Matzah is not brought either on the Festival of Shavuot or on the Festival of Sukkot. Rabbi Elazar son of Rabbi Shimon says, a thanksgiving offering is brought on the Festival of Sukkot, and one fulfills his obligation of rejoicing with it, but does not fulfill his obligations of [bringing a] Festival offering with it.
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