How to use LaTeX Long Left Double Arrow Symbol

July 30, 2023

To write the long left double arrow symbol (⟸) in LaTeX, use the LaTeX command \Longleftarrow. It will add ⟸ arrow in the text.

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

Symbol Overview

Symbol: Long Left Double Arrow

Unicode: U+27F8

Type: Mathematical and Logical Symbol

Package Requirement: None (built-in symbol)

Argument: None (no additional arguments needed)

LaTeX Command: \Longleftarrow

Example: ⟸

Description

The long left double arrow is a built-in symbol represented as a two long arrows pointing to the left. In mathematics context, it is used to represents the leftward implication. It indicates the statement on the left-hand side logically implies to the statement on the right-hand side.

Syntax

The LaTeX command \Longleftarrow is used to display the long left double arrow symbol.

\Longleftarrow

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

Using the Long Left Double Arrow Symbol in a Mathematical Expression

\documentclass{article}
\begin{document}
\[ x > 5 \Longleftarrow x^2 > 25 \]
\end{document}

Output: 👇️

x > 5 ⟸ x^2 > 25

Here in the above example, the x > 5 logically implies the inequality x^2 > 25.

Using the Long Left Double Arrow Symbol in Logical Statement

\documentclass{article}
\begin{document}
\[ (p \land q) \Longleftarrow (q \land p) \]
\end{document}

Output: 👇️

(p ∧ q) ⇐= (q ∧ p)

In the above example, (p \land q) logically implies (q \land p).

Applications

The long left double arrow symbol has versatile applications in LaTeX documents such as:

Represents leftward implication between logical statements.
Indicates mathematical implications.

Conclusion

Using the long left double arrow symbol in LaTeX documents, you can use it in document to represent leftward implication between logical statements and mathematical expressions. It helps to create visually appealing and formatted documents with enhanced mathematical and logical representations.