How to use LaTeX Left-Right Double Arrow Symbol

July 30, 2023

To write the left-right double arrow symbol (⇔) in LaTeX, use the LaTeX command \Leftrightarrow. It will add ⇔ arrow in the text.

In this article, we will discuss how to use left-right double arrow (⇔) in the LaTeX document and their significance in the mathematical expressions and logical statements.

Symbol Overview

Symbol: Left and Right Double Arrow

Unicode: U+21D4

Type: Mathematical and Logical Symbol

Package Requirement: None (built-in symbol)

Argument: None (no additional arguments needed)

LaTeX Command: \Leftrightarrow

Example: ⇔

Description

The left-right double arrow represented as double-headed arrow (⇔) pointing in opposite directions. In mathematics context, it is used to represents the bidirectional statements, equivalence between expressions. In logical context, it is used to denotes logical equivalence between statements.

Syntax

The LaTeX command \Leftrightarrow is used to display the left-right double arrow symbol.

\Leftrightarrow

Let’s understand using left-right double arrow symbol in various domains like mathematics, logical context with the help of examples.

Using the Left-Right Double Arrow Symbol in a Mathematical Expression

\documentclass{article}
\begin{document}
\[ x^2 = 4 \Leftrightarrow x = \pm 2 \]
\end{document}

Output: 👇️

x^2 = 4 ⇔ x = ±2

Here in the above example, x^2 = 4 is mathematically equivalent to x = \pm 2.

Using the Left-Right Double Arrow Symbol in Logical Statement

\documentclass{article}
\begin{document}
\[ (x \land y) \Leftrightarrow (y \land x) \]
\end{document}

Output: 👇️

(p ∧ q) ⇔ (q ∧ p)

In the above example, the (x \land y) is logically equivalent to (y \land x).

Applications

The left-right double arrow symbol has numerous applications in LaTeX documents such as:

Indicates logical equivalence between statements.
Represents mathematical equivalence between expressions.

Conclusion

Using the left-right double arrow symbol in LaTeX documents, you can use to represent bidirectional equivalence between logical statements and mathematical expressions. It helps to create visually appealing and formatted documents with enhanced mathematical and logical representations.