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
$$A \cup B =$$
{ efficient (creator), father, final (function), formal (design), holy spirit, material, son }
Symmetric Difference
$$A \ominus B =$$
{ efficient (creator), father, final (function), formal (design), holy spirit, material, son }
Difference
$$A - B =$$
{ efficient (creator), final (function), formal (design), material }
Difference
$$B - A =$$
{ father, holy spirit, son }
Cartesian Product
$$A \times B =$$
{ (efficient (creator), father),
(efficient (creator), holy spirit),
(efficient (creator), son),
(final (function), father),
(final (function), holy spirit),
(final (function), son),
(formal (design), father),
(formal (design), holy spirit),
(formal (design), son),
(material, father),
(material, holy spirit),
(material, son) }