# Set Operations

Assign different set operators to the characters in your LibreOffice Math formula. The individual operators are shown in the lower section of the Elements pane. Call the context menu in the Commands window to see an identical list of the individual functions. Any operators not found in the Elements pane have to be entered directly in the Commands window. You can also directly insert other parts of the formula even if symbols already exist for them.

After selecting the Set Operations item in the Elements pane, relevant icons will be shown in the lower part of this pane. Simply click a symbol to incorporate the operator in the formula being edited in the Commands window.

### The set operations in detail:

is included in

Use the icon to insert the is included in set operator with two placeholders. You can also enter <?> in <?> directly into the Commands window.

is not included in

Use this icon to insert the is not included in set operator with two placeholders. You can also enter <?> notin <?> in the Commands window.

includes

Use this icon to insert the set operator includes with two placeholders. You can also enter <?> owns <?> or <?> ni <?> directly in the Commands window.

empty set

Use this icon to insert an empty set. Enter emptyset in the Commands window, in order to insert an empty set into your document.

Intersection

Use this icon to insert two placeholders with the set operator intersection of sets . The same happens if you enter <?> intersection <?> Commands window.

Union

Use this icon to insert the union set operator with two placeholders. You can also enter <?> union <?> directly in the Commands window.

Difference

Use this icon to insert the difference set operator. You can also enter <?> setminus <?> or <?> bslash <?> in the Commands window.

Quotient set

Use this icon to insert a slash for creating a quotient set with two placeholders. Enter <?>slash<?> in the Commands window, to achieve the same result.

aleph

Use this icon to insert a cardinal number. You can achieve the same result by entering aleph in the Commands window.

Subset

Use this icon to insert the is a subset of set operator. You can also enter <?>subset<?> directly in the Commands window.

Subset or equal to

Use this icon to insert the is a subset or equal to set operator with two placeholders. You can also enter <?>subseteq<?> in the Commands window.

Superset

Use this icon to insert the set operator is a superset of and two placeholders. You can also enter <?>supset<?> in the Commands window.

Superset or equal to

Use this icon to insert the set operator is a super set or equal to with two placeholders. Alternatively, you can enter <?>supseteq<?> in the Commands window.

not subset

Use this icon to insert the not subset set operator with two placeholders. Instead of this, you can also enter <?>nsubset<?>.

not subset or equal to

Use this icon to insert the not subset or equal set operator with two placeholders. You can also enter <?>nsubseteq<?> in the Commands window.

not superset

Use this icon to insert the not superset set operator with two placeholders. You can also enter <?>nsupset<?> in the Commands window.

not superset or equal to

Use this icon to insert the not superset or equal set operator with two placeholders. Instead of this you can type <?>nsupseteq<?> in the Commands window.

Set of natural numbers

Use this icon to insert a character for the set of natural numbers. Instead of this, you can enter setn in the Commands window.

Set of whole numbers

Use this icon to insert a character for the set of whole numbers. You can also do this by entering setz in the Commands window.

Set of rational numbers

Use this icon to insert a character for the set of rational numbers. You can also do this by directly entering setq in the Commands window.

Set of real numbers

Use this icon to insert a character for the set of real numbers. Instead of this, you can enter setr in the Commands window.

Set of complex numbers

Use this icon to insert a character for the set of complex numbers. You can also enter setc in the Commands window.

Be sure to leave spaces (gaps) between values and commands when entering them manually in the Commands window. This ensures that the correct structure is achieved.