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intersected with a union c is a subset of a union. A union b is a set of all elements in a that are n't in b it can be thought of as like subtracting b from a i 'll call a minus b for the rest of the video. a equals a set containing 1 2 3 4 4 and 5 and b is the set containing 2 4 6 and 8 then a minus b is six and eight if b is a subset of a the set is called the complement of a with respect to a. The complement negates the predicate with our set builder notation. De morgan 's laws say that the complement of dogs union cats is equal to dog's compliment intersect intersect cat's compliment. The complement of a union b is a complement intersect b complement. The de morgan duality principle gives any set theoretic identity involving the union and the intersection if the union is interchanged throughout then the result will be another valid identity.


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March 15, 2023
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Summary
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