User:Thiagovscoelho/List of set theory symbols

In set theory, a set of symbols is commonly used to express set-theoretical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, and the LaTeX symbol.

Set theory symbols

Symbol	Unicode value (hexadecimal)	HTML value (decimal)	HTML entity (named)	LaTeX symbol	Read as	Category	Explanation	Examples
∈	U+2208	∈	∈	$\in$\in	element of	Set membership	Indicates that an element is a member of a set.	$a\in A$ means element a is in set A.
∉	U+2209	∉	∉	$\notin$\notin	not an element of	Set membership	Indicates that an element is not a member of a set.	$a\notin A$ means element a is not in set A.
⊆	U+2286	⊆	⊆	$\subseteq$\subseteq	subset of or equal to	Set relations	Indicates that every element of the first set is also an element of the second set.	$A\subseteq B$ means every element of A is also an element of B.
⊂	U+2282	⊂	⊂	$\subset$\subset	proper subset of	Set relations	Indicates that the first set is a subset of the second set but not equal to it.	$A\subset B$ means A is a subset of B but A ≠ B.
⊇	U+2287	⊇	⊇	$\supseteq$\supseteq	superset of or equal to	Set relations	Indicates that every element of the second set is also an element of the first set.	$B\supseteq A$ means every element of B is also an element of A.
⊃	U+2283	⊃	⊃	$\supset$\supset	proper superset of	Set relations	Indicates that the first set is a superset of the second set but not equal to it.	$B\supset A$ means B is a superset of A but B ≠ A.
∪	U+222A	∪	∪	$\cup$\cup	union	Set operations	Indicates the set of all elements that are a member of either set.	$A\cup B$ represents the union of sets A and B.
∩	U+2229	∩	∩	$\cap$\cap	intersection	Set operations	Indicates the set of all elements that are a member of both sets.	$A\cap B$ represents the intersection of sets A and B.
∅	U+2205	∅	∅	$\emptyset$\emptyset	empty set	Set identity	Denotes a set that contains no elements.	$\emptyset$ is the set with no elements.
ℙ	U+2119	ℙ		$\mathbb {P}$\mathbb{P}	power set	Set operations	Denotes the set of all subsets of a set, including the empty set and the set itself.	$\mathbb {P} (A)$ is the power set of A.
⊖	U+2296	⊖	⊖	$\setminus$\setminus	set difference	Set operations	Indicates the set of all elements that are a member of the first set and not the second.	$A\setminus B$ represents the difference between sets A and B.