There Exists Symbol

Symbol Format Data
Code Point
U+2203
TeX
\exists
SVG Download ↓

Usage

The (there exists) symbol is used in math to express the existence of a variable. For example, the symbol is usually used in an expression like this.

In plain language, this expression means there exists a variable belonging to the set of natural numbers such that is even.

Related Symbols

The 'there does not exist' symbol, ∄, is used in mathematical logic and set theory to denote the negation of the existential quantifier.

The ∀ (for all) symbol is used in math to describe the meaning of a variable in an expression.

The element of symbol indicates that an expression belongs to or is in the set.

The colon symbol is used in math to represent a "such that" statement and also to represent a ratio in mathematics.

Links

There Exists Notation

The syntax for "there exists" is a backwards capital E. It is often used in conjunction with a variable with certain properties.