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
$$A \cup B =$$
{ glide reflection, hope, pray, reflection, repeat if necessary, rotation, translation }
Symmetric Difference
$$A \ominus B =$$
{ glide reflection, hope, pray, reflection, repeat if necessary, rotation, translation }
Difference
$$A - B =$$
{ glide reflection, reflection, rotation, translation }
Difference
$$B - A =$$
{ hope, pray, repeat if necessary }
Cartesian Product
$$A \times B =$$
{ (glide reflection, hope),
(glide reflection, pray),
(glide reflection, repeat if necessary),
(reflection, hope),
(reflection, pray),
(reflection, repeat if necessary),
(rotation, hope),
(rotation, pray),
(rotation, repeat if necessary),
(translation, hope),
(translation, pray),
(translation, repeat if necessary) }
Salvation