How to Write the "There Exists One and Only One" Symbol (∃!) in LaTeX

In LaTeX, you can write the “there exists one and only one” symbol (∃!) using a combination of the \exists command and the exclamation mark !.

The following examples show how to write the “there exists one and only one” symbol in LaTeX.

How to Write the “There Exists One and Only One” Symbol in Text

We can use the \exists command followed by ! to write the “there exists one and only one” symbol in LaTeX document for tehere Exists One and Only One" Symbol in Text

Suppose we want to write the “there exists one and only one” symbol in the text.

We can use the following LaTeX code to do so:

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

This is an example of using the "there exists one and only one" symbol \(\exists!\) in a sentence.

\end{document}

Output: 👇️

This is an example of using the "there exists one and only one" symbol ∃! in a sentence.

In this example, we use the \exists command followed by ! to display the “there exists one and only one” symbol in the text.

How to Write the “There Exists One and Only One” Symbol in Mathematical Expressions

For mathematical expressions, we can use the \exists command followed by ! to ensure proper formatting.

Suppose we would like to write mathematical expressions that contain the “there exists one and only one” symbol.

We can use the following LaTeX code to do so:

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

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

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

\end{document}

Output: 👇️

There Exists One and Only One Symbol

In this example, we use the \exists command followed by ! to denote the “there exists one and only one” symbol in both inline and displayed mathematical expressions.

Conclusion

We can use the \exists command followed by ! for both text and mathematical expressions. This ensures that the “there exists one and only one” symbol is properly formatted and displayed in your LaTeX document.