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∁

complement

Complement

∁ marks a set’s complement: elements in the chosen universe that are not in that set. In a formula, ∁S means the elements of U outside S. It is one of several notations for a set complement.

Text symbol
Also called
complement sign
Search it as
set complement symbol · complement notation · latex complement
Shows up in
Anything that takes text · its shape is whatever your font draws

What ∁ means

∁S means the elements of U that are not in S. U is the full set under discussion; S is a set within it.

Modern set notation took shape across 1880–1920. Authors also mark complements with a line over the set letter or a small superscript c; no single sign is universal.

Formal mathematical notation; use it when U is clear.

Without U, “outside S” is ambiguous.

Questions people ask

1

Why does ∁ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type ∁

Windows (Word)
Alt+XType 2201, then Alt+X to get ∁.
Windows
Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win + .).
macOS
Control+Command+SpaceOpen the character viewer and search “complement”.
Linux
Ctrl+Shift+UType 2201, then Enter or Space.
HTML
∁
CSS
\2201
LaTeX input
In math mode, use `\complement`; some Unicode-aware LaTeX input tools convert the command to ∁.
Codes and encoding1 code points
HTML decimal
∁
HTML hex
∁
CSS content
content: "\2201";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%88%81
1
On screen
1
Code points
1
JS .length
3
UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

1

Maths & numbers1,835 symbols