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DeMorgan's laws for sets tell us how set complement works over set union, and how set complement works over intersection. We'll be proving the two parts of De Morgan's laws in today's set theory video lesson! This is a simple proof using our definitions of set union, set intersection, set complement, and set equality (we use "double inclusion" to prove equal sets). DeMorgan's laws tell us that the complement of the union of two sets is the intersection of their complements and the complement of the intersection of two sets is the union of their complements. What are De Morgan's Laws (logic and sets)? • What are DeMorgan's Laws? What is a Set Complement: • What is a Set Complement? Universal Sets, Absolute Complements, and Venn Diagrams: • Universal Sets, Absolute Complements, and ... ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Robert Rennie, Barbara Sharrock, and Lyndon for their generous support on Patreon! Follow Wrath of Math on... ● Instagram: / wrathofmathedu ● Facebook: / wrathofmath ● Twitter: / wrathofmathedu My Music Channel: / @emery3050