LaTeX Defined as Equal (:=) - Complete Guide

The defined as equal symbol (:=) indicates a definition.

Symbol Preview

:=

Defined as Equal

LaTeX Code

No package required

Recommended
:=

Defined as

No package required

Recommended
\coloneq

Colon equals

What is the LaTeX Defined as Equal?

Used to denote that the left side is defined to equal the right side.

How to Use Defined as Equal in LaTeX

Method 1: Using :=

โœ…No package required

Defined as

Example: Using :=

latex
\documentclass{article}

\begin{document}

% Using the Defined as Equal
Text with :=

\end{document}

Method 2: Using \coloneq

โœ…No package required

Colon equals

Example: Using \coloneq

latex
\documentclass{article}

\begin{document}

% Using the Defined as Equal
Text with \coloneq

\end{document}

Common Use Cases

The Defined as Equal symbol is commonly used in the following contexts:

Definition

Define a new quantity.

Code

$S := \{x : x > 0\}$

Output

S := {x : x > 0}

Complete Examples

Definition Example

Using defined as operator

latex
\documentclass{article}
\begin{document}

Let $n := 2m + 1$ be odd.

\end{document}

Frequently Asked Questions

Which method should I use?

We recommend using the method marked as "Recommended" above. However, the best method depends on your specific needs:

  • :=: Defined as
  • \coloneq: Colon equals

Where do I use this symbol?

This symbol can be used:

  • In mathematical equations (math mode)
  • In regular text (if using text mode)
  • In various document environments

Can I use this in display mode?

Yes, symbols that work in math mode (between $ $) also work in display mode (between $$ $$). This allows you to display the symbol on its own line with larger formatting.

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