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⊫

double vertical bar double right turnstile

Double-Bar Double Turnstile

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⊫ is a turnstile-shaped sign used in formal notation, but its shape alone does not give it one fixed meaning; follow the author’s definitions. It is a different character from and , whose familiar proof and semantic readings do not automatically apply here. The related single turnstile traces back to Frege’s 1879 judgement sign.

Text symbol

What ⊫ means

Read the formal system’s definition; the glyph has no fixed reading. In a logic text, ⊫ can mark a relation chosen by the author; its extra bars alone do not tell you which one. Look for the notation’s definition before reading it as proof, truth, forcing, or another relation.

Is ⊫ the same as or ?

No; they are separate symbols with different conventions. commonly marks derivability from assumptions by formal rules; commonly marks semantic consequence or that a model satisfies a formula. Those conventions help distinguish the related signs but do not settle ⊫.

The single turnstile has an older history. Frege’s 1879 Begriffsschrift, a book introducing logical notation, placed a vertical judgement stroke before a horizontal content line to mark a statement as asserted. Modern is a related sign often used for derivability; that lineage does not assign a reading to ⊫.

Don't confuse it with

2

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 or find ⊫

Search it as
double turnstile symbol · double vertical bar turnstile · VDash · VDash LaTeX · turnstile notation · ⊫ vs ⊨
Shows up in
Anything that takes text · its shape is whatever your font draws
Windows (Word)
⎇Alt+XType 22AB, then AltX 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 “double vertical bar double right turnstile”.
Linux
⎈Ctrl+⇧Shift+UType 22ab, then Enter or Space.
HTML
⊫
CSS
\22AB
LaTeX
In LaTeX math mode, use \VDash.
Codes and encoding1 code points
HTML decimal
⊫
HTML hex
⊫
CSS content
content: "\22AB";
Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.
URL encoded
%E2%8A%AB
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