1
Q
the object x is an element of the set A
A
x∈A
2
Q
empty set
A
ø
3
Q
A is a subset of B
A
A⊆B
4
Q
the object x is NOT an element of A
A
x∉A
5
Q
A is not a subset of B
A
A⊈B
6
Q
natural numbers
A
ℕ = {1,2,3,…}
7
Q
set of integers
A
ℤ = {…, -3, -2, -1, 0, 1, 2, …}
8
Q
set of rational numbers
A
ℚ
9
Q
set of real numbers
A
ℝ
10
Q
set of complex numbers
A
ℂ
11
Q
a divides b OR a is a divisor of b OR a is a factor of b OR b is a multiple of a
A
a | b
12
Q
negation of a proposition P
A
~P or ¬P
13
Q
the conjunction of P and Q
A
P∧Q
14
Q
disjunction of P and Q
A
P∨Q
15
Q
A and B are equivalent
A
AΞB
16
Q
the conditional sentence “if P then Q”
A
P⇒Q
17
Q
the biconditional sentence “P if and only if Q” (P iff Q)
A
P⇔Q
18
Q
existential quantifier
A
∃
19
Q
universal quantifier
A
∀
20
Q
unique existential quantifier
A
∃!
Math Proofs
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