Equality
$$A \neq B$$
A is not equal to B
Subset
$$A \not\subseteq B$$
A is not a subset of or equal to B
Superset
$$A \not\supseteq B$$
A is not a superset of or equal to B
Intersection
$$A \cap B =$$
{ }
Union
$$A \cup B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic, equality, fraternity, liberty }
Symmetric Difference
$$A \ominus B =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic, equality, fraternity, liberty }
Difference
$$A - B =$$
{ equality, fraternity, liberty }
Difference
$$B - A =$$
{ Heterophonic, Homophonic, Homorhythmic, Monophonic, Polyphonic }
Cartesian Product
$$A \times B =$$
{ (equality, Heterophonic),
(equality, Homophonic),
(equality, Homorhythmic),
(equality, Monophonic),
(equality, Polyphonic),
(fraternity, Heterophonic),
(fraternity, Homophonic),
(fraternity, Homorhythmic),
(fraternity, Monophonic),
(fraternity, Polyphonic),
(liberty, Heterophonic),
(liberty, Homophonic),
(liberty, Homorhythmic),
(liberty, Monophonic),
(liberty, Polyphonic) }
Liberté, égalité, fraternité