Jerusalem Talmud Pesachim 7.4

משנה: חֲמִשָּׁה דְבָרִים בָּאִין בְּטוּמְאָה וְאֵינָן נֶאֱכָלִין בְּטוּמְאָה. הָעוֹמֶר וּשְׁתֵּי הַלֶּחֶם וְלֶחֶם הַפָּנִים וְזִבְחֵי שַׁלְמֵי צִבּוּר וּשְׂעִירֵי רָאשֵׁי חֳדָשִׁים. הַפֶּסַח שֶׁבָּא בְטוּמְאָה נֶאֱכָל בְּטוּמְאָה שֶׁלֹּא בָא מִתְּחִילָּתוֹ אֶלָּא לַאֲכִילָה:

MISHNAH: Five kinds are brought in impurity but are not eaten in impurity: The ˋOmer, and the Two Breads, and the shew-bread, and public well-being offerings, and the goats of New Moons. Pesaḥ which is brought in impurity is eaten since from the start this is what it is for.

הלכה: וְכָל קָרְבְּנוֹת צִיבּוּר אֵינָן בָּאִין בְּטוּמְאָה. לָא אֲתַא אֶלָּא מֵימוּר לָךְ. אַף עַל פִּי שֶׁהֵן בָּאִין בְּטוּמְאָה אֵינָן נֶאֱכָלִין בְּטוּמְאָה. בֵּין כְּמָאן דְּאָמַר. הַלֶּחֶם עִיקָּר. בֵּין כְּמָאן דְּאָמַר. כְּבָשִׂים עִיקָּר. אַרְבָּעָה אִינִּין. תַּנָּיָיה חָשׁ לוֹן וּתְנַנְתּוֹן חֲמִשָּׁה.

HALAKHAH: Are not all public sacrifices brought in impurity? He only comes to tell you, even though they are brought in impurity they are not eaten in impurity. Both for him who says that the bread is the main item, as also for him who says that the sheep are the main item, there should be only four. The Tanna takes note of them and stated them as five.

אִית תַּנָּיֵי תַנֵּי. כּוּלְּהוֹם לְמֵידִין מִן הַפֶּסַח. אִית תַּנָּיֵי תַנֵּי. כָּל אֶחָד וְאֶחָד לָמֵד מִמְּקוֹמוֹ. מָאן דְּאָמַר. כּוּלְּהוֹן לְמֵידִין מִן הַפֶּסַח. מַה מוֹעֲדוֹ שֶׁנֶּאֱמַר (כָּאן) [בַּפֶּסַח דּוֹחֶה אֶת הַטּוּמְאָה. אַף מוֹעֲדוֹ שֶׁנֶּאֱמַר בְּכוּלָּן] דּוֹחֶה אֶת הַטּוּמְאָה. מָאן דְּאָמַר. כָּל אֶחָד וְאֶחָד לָמֵד מִמְּקוֹמוֹ מְנַיִן לֵיהּ. וְאַתְיָא כְהָדָא דְתַנֵּי. רִבִּי אוֹמֵר. מַה תַלְמוּד לוֹמַר וַיְדַבֵּר מֹשֶׁה אֶת מוֹעֲדֵי יְי. לְפִי שֶׁלֹּא לָמַדְנוּ אֶלָּא עַל הַפֶּסַח וְהַתָּמִיד שֶׁיִּדְחוּ אֶת הַשַּׁבָּת. שֶׁנֶּאֱמַר בָּהֶם בְּמוֹעֲדוֹ. שְׁאָר כָּל קָרְבְּנוֹת צִיבּוּר מְנַיִין. תַּלְמוּד לוֹמַר אֵלֶּה תַּעֲשׂוּ לַיי בְּמוֹעֲדֵיכֶם. לָעוֹמֵר וּלְקָרֵב עִמּוֹ וְלִשְׁתֵּי הַלֶּחֶם וּלְקָרֵב עִמָּהֶן לֹא שָׁמַעְנוּ. וּכְשֶׁהוּא אוֹמֵר וַיְדַבֵּר מֹשֶׁה אֶת מוֹעֲדֵי יְי אֶל בְּנֵי יִשְׂרָאֵל קְבָעָן חוֹבָה. שֶׁכּוּלָּם יָבוֹאוּ בְטוּמְאָה. וּכְשֵׁם שֶׁהֵן בָּאִין בְּטוּמְאָה כָּךְ יְהוּא נֶאֱכָלִין בְּטוּמְאָה. גְּזֵירַת הַכָּתוּב הוּא. וְהַבָּשָׂר אֲשֶׁר יִגַּע בְּכָל טָמֵא לֹא יֵאָכֵל. וְאָמַר אַף בַּפֶּסַח כֵּן. שַׁנְיָיה הִיא. שֶׁלֹּא בָא מִתְּחִילָּתוֹ אֶלָּא לַאֲכִילָה.

There are Tannaim who state that all of them are inferred from the Pesaḥ. There are Tannaim who state that each of them is inferred from its place. He who said that all of them are inferred from the Pesaḥ, since at its fixed time which is said (here) [about Pesaḥ pushes impurity aside, also at its fixed time which is written about all of them] pushes impurity aside. He who said that each of them is inferred from its place, from where does he have it? It comes as it is stated: “Rebbi says, why does the verse say, Moses told the holidays of the Eternal. Since we learned only about Pesaḥ and the daily sacrifices that they push the Sabbath aside, since it is said about them at its fixed time, from where the rest of public offerings? The verse says, these you shall offer to the Eternal at your fixed times. For the Omer and what is brought with it, and for the Two Breads and what is brought with them, we have no information. But since it is said, Moses told the holidays of the Eternal to the Children of Israel, this fixed it as obligation that all of them have to be offered in impurity.” Just as they are brought in impurity, should they not be eaten in impurity? It is a decision of the verse: Any meat that touched anything impure may not be eaten. One would say that the same is valid for the Pesaḥ. This is different since from the start this is what it is for.