# Properties of complement of a set?

In set theory , the complement of a set A , often denoted by $\\A^c$ are the element not in A.

When all sets under consideration are considered to be subset of given set of elements in U ,but not in A..

COMPLEMENT LAWS: $\\A\cup A^c=U$

LAW OF DOUBLE:$\\(A^c)^c=A$

$\\\Rightarrow (A\cup B)^c=A^c\cap B^c$

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