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Discrete Math Notation
Tyler Murphy
Math 189 Spring 2014

Symbol
⇒
⇔
≡
¬
∀
∃
∧
∨

Logic Notation
Meaning
Implies (if, then)
If and Only if (double implication)
equivalent
not (negation of the following statement)
For all
There exists
And
Or
There does not exist
Proof Complete

The
Symbol
Z
N
Q
R
C

Numbers and Notation
Meaning
Usage
Integers
x∈Z
Natural Numbers x ∈ N
Rational Numbers x ∈ Q
Real Numbers
x∈R
Complex Numbers x ∈ C

1

Usage
p⇒q
p⇔q
p≡q
¬p
∀x
∃x
p∧q
p∨q
x
1=1

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Logic Notation

  • 1. Discrete Math Notation Tyler Murphy Math 189 Spring 2014 Symbol ⇒ ⇔ ≡ ¬ ∀ ∃ ∧ ∨ Logic Notation Meaning Implies (if, then) If and Only if (double implication) equivalent not (negation of the following statement) For all There exists And Or There does not exist Proof Complete The Symbol Z N Q R C Numbers and Notation Meaning Usage Integers x∈Z Natural Numbers x ∈ N Rational Numbers x ∈ Q Real Numbers x∈R Complex Numbers x ∈ C 1 Usage p⇒q p⇔q p≡q ¬p ∀x ∃x p∧q p∨q x 1=1