Reference for Beitzah 5:2
כֹּל שֶׁחַיָּבִין עָלָיו מִשּׁוּם שְׁבוּת, מִשּׁוּם רְשׁוּת, מִשּׁוּם מִצְוָה, בְּשַׁבָּת, חַיָּבִין עָלָיו בְּיוֹם טוֹב. וְאֵלּוּ הֵן מִשּׁוּם שְׁבוּת, לֹא עוֹלִין בָּאִילָן, וְלֹא רוֹכְבִין עַל גַּבֵּי בְהֵמָה, וְלֹא שָׁטִין עַל פְּנֵי הַמַּיִם, וְלֹא מְטַפְּחִין, וְלֹא מְסַפְּקִין, וְלֹא מְרַקְּדִין. וְאֵלּוּ הֵן מִשּׁוּם רְשׁוּת, לֹא דָנִין, וְלֹא מְקַדְּשִׁין, וְלֹא חוֹלְצִין, וְלֹא מְיַבְּמִין. וְאֵלּוּ הֵן מִשּׁוּם מִצְוָה, לֹא מַקְדִּישִׁין, וְלֹא מַעֲרִיכִין, וְלֹא מַחֲרִימִין, וְלֹא מַגְבִּיהִין תְּרוּמָה וּמַעֲשֵׂר. כָּל אֵלּוּ בְּיוֹם טוֹב אָמְרוּ, קַל וָחֹמֶר בְּשַׁבָּת. אֵין בֵּין יוֹם טוֹב לְשַׁבָּת אֶלָּא אֹכֶל נֶפֶשׁ בִּלְבָד:
Whatever one is liable for by reason of shvuth ("resting") [i.e., whatever the sages forbade one from doing on Shabbath by reason of shvuth], or reshuth (a permitted activity), [where there is "somewhat" of a mitzvah, but not a distinct mitzvah, so that it has a semblance of "reshuth" (and which is forbidden by the scribes)], or mitzvah [i.e., where there is a distinct mitzvah, but which the rabbis forbade on Shabbath], (Whatever one is liable for by reason of shvuth), one is liable for [i.e., he may not do it] on yom tov. Shvuth: [those things which the sages charged one to "rest" from, and in the doing of which there is no mitzvah]: One may not climb a tree [a decree, lest he tear (something from it) ], and one may not ride on an animal [a decree, lest he cut a vine-rod in order to lead it], and one may not swim [a decree, lest he make "a swimmer's bottle"], and one may not clap [hand to hand], and one may not slap [hand to thigh], and one may not dance, [all decrees lest one make musical instruments]. Reshuth: One may not render a (halachic) ruling. [Sometimes, this is (entirely) reshuth, as when there is a higher authority in the city in which instance it is not incumbent upon him (a lesser sage) to rule.], and one may not betroth. [Sometimes it is not a distinct mitzvah, but reshuth, as when one has a wife and children.], and one may not perform chalitzah nor yibum. [When one has an older brother, this is also reshuth, it being a mitzvah for the eldest brother to perform yibum. The reason for all of these — a decree, lest he write.] Mitzvah: One may not dedicate (to the Temple), and one may not assess, [e.g., "The value of that man is upon me" (to give to the Temple), and he gives according to age as explained in the section on assessments (Leviticus 27:1-8)], and one may not make devotions (charamin) [e.g., "This beast is devoted." Devotions, unqualified, are for Temple maintenance. The rabbis forbade all of these (on yom tov) for they are similar to buying and selling, something passing from his domain to that of hekdesh (the Temple)], and one may not separate terumah and ma'aser (on yom tov) [even to give it to the Cohein on that day, where it is evident that he is separating them for the Cohein's festival joy — still, it is forbidden, for he thereby "amends" (the produce). This, with what was tevel (subject to tithing) the day before, but with what had become tevel today, such as dough, from which challah must be taken, he separates it on yom tov and gives it to the Cohein.] All of these were stated in respect to yom tov — a fortiori, in respect to Shabbath. There is no difference between yom tov and Shabbath but food (preparation) alone, (being forbidden on Shabbath but permitted on yom tov.) [This anonymous Mishnah is in accordance with Beth Shammai, who say (1:5): "Neither a minor, nor a lulav, nor a Torah scroll may be carried out to the public domain (on yom tov)," only what is necessary for eating having been permitted. But we rule in accordance with Beth Hillel, who say that since carrying was permitted for eating purposes, it was permitted for other purposes, too. (Another difference is the dropping of fruits through the aperture (5:1), which is forbidden on Shabbath and permitted on yom tov.)]