General Prohibition against using items created on Shabbat/Holidays: Shabbat 156b-157a; Beitzah 2b
Do we consider a Holiday followed by Shabbat, or a Holiday preceded by Shabbat, as a single sanctity or as two separate sanctities: Eruvin 38a-39a; Beitzah 4a-b
Whether the laws of Muktzeh and Nolad apply on the same days, or not: Beitzah 2a
Are Nolad items considered in the class of Davar sheyesh lo matirin, items that will become permitted soon: Beitzah 3b-4a
Is an item considered "Nolad" in terms of human use if it was already prepared for an animal's use before Shabbat/Yom Tov began [muchan l'klavim [lo] havi muchan l'adam]: Beitzah 6a-b
Is an item considered "Nolad" in terms of animal use if it was already prepared for a human's use before Shabbat/Yom Tov began [muchan l'adam [lo] havi muchan l'klavim]: Beitzah 6a-b