How to Write the "There Does Not Exist" Symbol (∄) in LaTeX

In LaTeX, you can write the “there does not exist” symbol (∄) using the \nexists command.

The following examples show how to write the “there does not exist” symbol in LaTeX.

How to Write the “There Does Not Exist” Symbol in Text

We can use the \nexists command to write the “there does not exist” symbol in LaTeX document for text.

Suppose we want to write the “there does not exist” symbol in the text.

We can use the following LaTeX code to do so:

\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}

This is an example of using the "there does not exist" symbol \(\nexists\) in a sentence.

\end{document}

Output: 👇️

This is an example of using the "there does not exist" symbol ∄ in a sentence.

In this example, we use the \nexists command to display the “there does not exist” symbol in the text.

How to Write the “There Does Not Exist” Symbol in Mathematical Expressions

For mathematical expressions, we can use the \nexists command to ensure proper formatting.

Suppose we would like to write mathematical expressions that contain the “there does not exist” symbol.

We can use the following LaTeX code to do so:

\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}

An inline mathematical expression: \( \nexists x \in A \).

A displayed mathematical expression:
\[
\nexists x \in A \text{ such that } P(x)
\]

\end{document}

Output: 👇️

There Does Not Exist Symbol

In this example, we use the \nexists command to denote the “there does not exist” symbol in both inline and displayed mathematical expressions.

Conclusion

We can use the \nexists command from the amssymb and amsmath package for both text and mathematical expressions. This ensures that the “there does not exist” symbol is properly formatted and displayed in your LaTeX document.