⊬

Math Operator 169

Unicode
U+22AC
Category
Math
HTML Entity
⊬
CSS
\22AC
The ⊬ symbol, formally known as "Does Not Prove" or the negated turnstile, is a mathematical operator used heavily in formal logic. It indicates that a specific statement or theorem cannot be logically deduced from a given set of axioms. While you won't see it much in casual text or social media, it remains a vital notation in advanced mathematics, proof theory, and computer science.

How to Type

Windows
Alt+8876 or type 22AC then press Alt+X (in Word)
macOS
Control+Command+Space then search "does not prove"
Linux
Ctrl+Shift+U 22AC
HTML
⊬ or ⊬

In Programming

In formal verification and theoretical computer science, ⊬ is frequently formatted using LaTeX (as `\nvdash`) to denote unprovability within a formal system. It rarely appears as a native syntactic operator in standard programming languages.

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Tags

LaTeX negation axiomatic system computer science logic does not prove formal logic negation incompleteness logic mathematics negated turnstile negation not provable from axioms not proves proof theory turnstile unicode U+22AC unprovable

Related Symbols

± Plus Minus Sign × Multiplication Sign ÷ Division Sign ≠ Not Equal To ≈ Approximately Equal To ∞ Infinity √ Square Root ∑ Summation ∫ Integral π Pi ≤ Less Than or Equal To ≥ Greater Than or Equal To