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complement
1 Definition
Let be a subset of . The complement of in (denoted when the larger set is clear from context) is the set difference .
The Venn diagram below illustrates the complement of in red.
2 Properties
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If and are subsets of , then , where the complement is taken in .
3 de Morgan’s laws
Let be a set with subsets for , where is an arbitrary index-set. In other words, can be finite, countable, or uncountable. Then
Related:
DeMorgansLaws
Type of Math Object:
Definition
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Reference
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Mathematics Subject Classification
03E99 None of the above, but in MSC2010 section 03Exx- Forums
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