There Exists Symbol
∃ means “there exists” and is commonly used to express that at least one element satisfies a condition.
U+2203
The symbol ∃ is pronounced “there exists.” It’s widely used in mathematical statements and logic to say that at least one solution meets a given property. Below you’ll find practical copy options and usage examples.
There Exists Symbol Meaning
∃ (U+2203) is the “there exists” quantifier. In logic and mathematics, it’s used to express that some element in a domain makes a statement true. For example, ∃x P(x) means “there exists an x such that P(x) holds.” You’ll also see it used with conditions, sets, or functions to state existence claims (sometimes informally paraphrased as “at least one” or “there is a solution”). When paired with variables and predicates, it helps clearly communicate how many solutions are guaranteed—specifically, that existence is asserted without necessarily saying how many.
Common uses
- •Writing logic and quantifier statements like “there exists an x such that …”
- •Describing existence of solutions in algebra, equations, or constraint problems
- •Specifying that a property holds for at least one item in a set
- •Creating proofs and formal arguments using quantifiers and predicates
- •Communicating requirements in formal specifications (e.g., there exists a valid configuration)
Examples
∃ There Exists symbol
- ∃There exists an x such that x > 2.
- ∃∃x (x is prime and divides n).
- ∃In the set, there exists a member that satisfies the condition.
- ∃∃t (the function value equals 0).
- ∃There exists a path from A to B.
Variations
Ready to copy
Technical codes
| Unicode | U+2203 | |
| HTML Entity | ∃ | |
| HTML Code | ∃ | |
| CSS | \2203 | |
| Alt Code | Alt + 8707 | |
| Decimal | 8707 |
How to type There Exists Symbol (∃)
On Windows
Hold Alt and type 8707 on the numeric keypad. In Word, type 2203 then press Alt + X.
On Mac
Switch to the Unicode Hex Input keyboard, then hold Option and type 2203. Or press Control + Command + Space and search.
On Linux
Press Control + Shift + U, type 2203, then press Enter or Space.
Anywhere
Copy ∃ with the button above and paste it wherever you need it — this works on every device and in every app, with no keyboard shortcut to remember.
FAQ
What does ∃ mean?
∃ means “there exists.” It asserts that at least one element in the relevant domain makes a statement true.
How do I copy ∃ on the web?
Copy the character “∃” directly. If you need code, you can also use its HTML entity or escapes listed on this page.
What is the Unicode code point for ∃?
The Unicode code point for ∃ is U+2203.
How can I use ∃ in HTML or programming code?
Use the HTML entity ∃ or the CSS/JS escapes: \\2203 for CSS and \\u{2203} for JavaScript (as provided on this page).