Sets

Fundamental laws of set algebra

Keywords:

A¯¯=A
   
¯=Ω
Ω¯=
 
A=A
AΩ=A
 
AΩ=Ω
A=A
 
AB=BA
AB=BA
  Commutative laws
ABC=ABC
ABC=ABC
  Associative laws
ABC=ABAC
ABC=ABAC
  Distributive laws
AAB=A
AAB=A
  Absorption laws
AA=A
AA=A
  Idempotent laws
AB¯=A¯B¯
AB¯=A¯B¯
  De Morgan's laws