Fundamental laws of set algebra

A¯¯=A
¯=Ω
Ω¯=
A=A
AΩ=A
AΩ=Ω
 
A=A

Commutative laws

AB=BA
AB=BA

Associative laws

ABC=ABC
ABC=ABC

Distributive laws

ABC=ABAC
ABC=ABAC

Absorption laws

AAB=A
AAB=A

Idempotent laws

AA=A
AA=A

De Morgan's laws

AB¯=A¯B¯
AB¯=A¯B¯
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