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De Morgan's Laws

Let  union represent "or",  intersection represent "and", and ^' represent "not." Then, for two logical units E and F,

 (E union F)^'=E^' intersection F^'
 (E intersection F)^'=E^' union F^'.
These laws also apply in the more general context of Boolean algebra and, in particular, in the Boolean algebra of set theory, in which case  union would denote union,  intersection intersection, and ^' complementation with respect to any superset of E and F
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