Math Symbols

Triple Vertical Bar Right Turnstile ⊪

U+22AA Added in Unicode 1.1 (1993)

⊪ is a mathematical logic symbol denoting semantic entailment or forcing, showing a statement is true in all relevant models.

Alt code Alt+8874
Codes
Unicode
Unicode name
Decimal
Windows Alt code
HTML entity
HTML decimal
HTML hex
Encodings & code escapes +
UTF-8 (hex bytes)
UTF-16 (hex units)
UTF-32
URL encoded
CSS content
JavaScript / TypeScript
JSON, Java, C#, C/C++
Python
Go
Rust, Swift, PHP, Ruby
Perl

Click any value to copy it. All escapes refer to the same code point U+22AA.

How to type ⊪ on Windows

The fastest method on a full-size keyboard is the Alt code Alt+8874.

  1. Make sure Num Lock is on.
  2. Hold down the Alt key.
  3. Type 8874 on the numeric keypad (the number row will not work).
  4. Release Alt. The triple vertical bar right turnstile symbol ⊪ appears.

Note: Alt+8874 is a Unicode decimal code, not a classic code-page Alt code. It works in Microsoft Word, WordPad and some other apps, but not in Notepad or most browsers. In those apps, copy the symbol from this page instead.

No numeric keypad?

Press Win+. to open the emoji panel, choose the Symbols tab (Ω) and search for "triple vertical bar right turnstile". Or open Character Map from the Start menu, find ⊪, click Select, then Copy.

How to type ⊪ on a Mac

There is no direct keyboard shortcut for ⊪ on a Mac.

For any symbol, the Character Viewer works: press Control+⌘+Space, type "triple vertical bar right turnstile" in the search box and double-click the result. It will be remembered under Frequently Used.

How to type ⊪ on iPhone and iPad

The iOS keyboard does not include ⊪, so the reliable way is to copy it from this page, then press and hold in any text field and tap Paste.

If you use it often, create a shortcut: open Settings → General → Keyboard → Text Replacement, paste ⊪ in the Phrase field and type a short code such as ;triple in the Shortcut field. Typing that code will then insert ⊪ anywhere.

How to type ⊪ on Android

Copy the symbol from this page, then long-press in a text field and choose Paste. Gboard also keeps a clipboard history: tap the clipboard icon on the toolbar to paste it again later.

For a permanent shortcut, open Gboard settings → Dictionary → Personal dictionary, add ⊪ as the word and a short code as the shortcut.

How to type ⊪ in Microsoft Word

  1. Type the Unicode hex code 22AA where you want the symbol.
  2. Press Alt+X. Word converts the code into ⊪.

This works on Windows in Word, Outlook and OneNote and needs no numeric keypad. You can also go to Insert → Symbol → More Symbols, set the font to a Unicode font and type 22AA in the Character code box. In Excel, the formula =UNICHAR(8874) returns the symbol.

How to type ⊪ in Google Docs

Open Insert → Special characters, then either search for "triple vertical bar right turnstile" or draw the symbol in the sketch box. Click the result to insert it. In Google Sheets, use =CHAR(8874).

⊪ in HTML, CSS and code

FormatCode
HTML entity⊪
HTML decimal⊪
HTML hex⊪
CSS content"\22AA"
JavaScript"\u22AA"
Python"\u22AA"
URL encoded%E2%8A%AA

Because ⊪ is a standard Unicode character (U+22AA), you can also paste it directly into any UTF-8 file. The escaped forms above are only needed when the file encoding is uncertain or the symbol must be entered on a keyboard without it.

Where the triple vertical bar right turnstile symbol is used

Used in mathematical logic and set theory to express forcing relations or strong entailment, as in "p ⊪ φ" meaning condition p forces φ. It is distinct from the single-bar ⊨ (models) symbol, which denotes standard semantic entailment.

Frequently asked questions

What does ⊪ mean in logic? +

It typically represents a forcing relation in set theory or a strengthened form of semantic entailment, indicating a condition guarantees the truth of a statement.

Is ⊪ the same as ⊨? +

No, ⊨ denotes standard logical entailment or satisfaction, while ⊪ often signals a stronger or more specific relation, such as forcing in set theory.

What is the Alt code for the triple vertical bar right turnstile symbol? +

The Alt code for ⊪ is Alt+8874. Hold Alt, type 8874 on the numeric keypad, then release Alt. This is a Unicode code, so it works in Word and WordPad but not in every app; in other apps paste the symbol instead.

How do I type ⊪ on a Mac? +

There is no dedicated Mac shortcut for ⊪. Open the Character Viewer with Control + Command + Space, search for "triple vertical bar right turnstile", and double-click it. Or copy it from this page.

How do I type the triple vertical bar right turnstile symbol on iPhone or Android? +

Phone keyboards do not include ⊪ by default. Copy it from this page and paste it, or add it as a text replacement shortcut in Settings so you can type it with a short abbreviation.

What is the HTML code for ⊪? +

Use ⊪ in HTML. The numeric form ⊪ works too. In CSS use content: "\22AA" and in JavaScript use "\u22AA".

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