∀
Symbol  Format  Data 

∀  Code Point 
U+2200 
TeX 
\forall 

SVG 
The (for all) symbol is used in math to describe a variable in an expression. Typically, the symbol is used in an expression like this:
In plain language, this expression means for all in the set of real numbers. Then, this expression is usually followed by another statement that should be able to be proven true or false. Read more…
The element of symbol indicates that an expression belongs to or is in the set.
The "there exists" symbol (∃) is used in math, especially in logic and set theory, to denote the existence of an element in a particular set.
The ∀ (for all) symbol is used in math to describe the meaning of one or more variables in a statement.