Set Theory

is a set{ }
is an element of
is not an element of
subset
is a subset of
proper subset
is a proper subset of
is not a subset of
union
intersection
the empty set
proper superset
is a superset of
superset
is a proper superset of
Venn Diagram

f(1) = 1
f(2) = 3
f(3) = 7
f(4) = 15

formula:
f(1) = 1
f(n) = f(n-1) * 2 + 1