Symbols used to indicate comparison

The following symbols may be used anywhere in text∶
Description#Symbol
Grafstate code
Less than
<
<
Greater than
>
>
Less than or equal to
= <
\le
=<
Greater than or equal to
> =
\ge
>=
Equal to
=
=
Not equal to
≠
!=
Equivalent to
≡
==
Not equivalent to
≢
!==
Congruent to
≅
~=
Not congruent to
≇
!~=
Approximately equal to
≈
~~
Not approximately equal to
≉
!~~
Defined to be
≝
\d=
Wonder operator
≟
?=
Mapping reduction
⟸ m
<=m
\mred
Polynomial time mapping reduction
⟸ p
<=p
\pmred
The symbol ≡ is often used in Discrete Math to mean "congruent to" in congruence relations.
In the theory of automata, the Grafstate Margin Notes use the symbol ≅ to indicate equivalence between two computational structures.