Math Formulas: Set Identities

Definitions:

I: Universal set

Empty set:

Union of sets

Intersection of sets

Complement

Difference of sets

Cartesian product

Set identities involving union

Commutativity

Associativity

Idempotency

Set identities involving intersection

commutativity

Associativity

Idempotency

Set identities involving union and intersection

Distributivity

Domination

Identity

Set identities involving union, intersection and complement

Complement of intersection and union

De Morgan’s laws

Set identities involving difference