Gemara- Just like Pesach has tashlumin for all 7 days- as we learned in the first chapter- we know it from Succos and it is also true for Pesach for it is also seven days.
(א) חֻלוֹ שֶׁל מוֹעֵד אַף עַל פִּי שֶׁלֹּא נֶאֱמַר בּוֹ (ויקרא כג כד) (ויקרא כג לט) "שַׁבָּתוֹן" הוֹאִיל וְנִקְרָא (ויקרא כג ז) "מִקְרָא קֹדֶשׁ" וַהֲרֵי הוּא זְמַן חֲגִיגָה בַּמִּקְדָּשׁ אָסוּר בַּעֲשִׂיַּת מְלָאכָה כְּדֵי שֶׁלֹּא יִהְיֶה כִּשְׁאָר יְמֵי הַחל שֶׁאֵין בָּהֶן קְדֻשָּׁה כְּלָל. וְהָעוֹשֶׂה בּוֹ מְלָאכָה הָאֲסוּרָה מַכִּין אוֹתוֹ מַכַּת מַרְדּוּת מִפְּנֵי שֶׁאִסּוּרוֹ מִדִּבְרֵי סוֹפְרִים. וְלֹא כָּל מְלֶאכֶת עֲבוֹדָה אֲסוּרָה בּוֹ כְּיוֹם טוֹב שֶׁסּוֹף הָעִנְיָן בַּדְּבָרִים שֶׁנֶּאֶסְרוּ בּוֹ כְּדֵי שֶׁלֹּא יִהְיֶה כְּיוֹם חֹל לְכָל דָּבָר. לְפִיכָךְ יֵשׁ מְלָאכוֹת אֲסוּרוֹת בּוֹ וְיֵשׁ מְלָאכוֹת מֻתָּרוֹת בּוֹ:
(1) Although the Torah does not attach complete rest to the intermediate days of Pesaḥ and Sukkoth, it refers to them as sacred assembly, and the pilgrim-offering was presented in the Temple on those days; hence, work is forbidden on Hol ha-Mo'ed, so that it may not be regarded as ordinary weekdays that are devoid of all sanctity. If anyone performs prohibited work on Hol ha-Mo'ed, he is punished for disobeying a rabbinic enactment. However, not every type of work is prohibited on Hol ha-Mo'ed as on a holyday, for the things that are prohibited on Hol ha-Mo'ed are essentially designed to show that it is not like a weekday in every respect. Therefore, some kinds of work are forbidden on Hol ha-Mo'ed, while others are permitted.