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True Symbol

The ⊨ symbol is commonly used in logic to express that a statement is true in a model.

U+22A8

⊨ is the Unicode character named “TRUE” (U+22A8). It’s frequently used in formal logic and semantics to indicate a model satisfies a statement. You can copy it directly or use its escape sequences in code.

True Symbol Meaning

⊨ (Unicode name: TRUE, U+22A8) is most commonly seen in logical notation to express satisfaction or truth with respect to a model. In many texts, writing M ⊨ φ means that the structure/model M makes the statement φ true. This usage appears in semantics, model theory, and logic-based explanations in textbooks and technical writing. Because it’s a single, self-contained symbol, it’s also handy when typesetting “models/true in a model” relationships in documents, slide decks, and technical diagrams where standard equals signs or checkmarks don’t convey the same formal meaning.

Common uses

  • Writing logic and semantics notes (e.g., “M ⊨ φ” satisfaction)
  • Documenting model theory relationships in study materials
  • Labeling diagram nodes in logic/AI explanations (true in a model)
  • Adding formal assertions in research write-ups and LaTeX-adjacent drafts
  • Using a consistent “true in model” symbol in code comments or specs

Examples

⊨ True / Models Symbol

  • M ⊨ φ holds when φ is satisfied by model M.
  • If Γ ⊨ ψ, then every model that satisfies Γ also satisfies ψ.
  • We check whether the given structure satisfies the formula.
  • This framework uses ⊨ to indicate truth with respect to interpretations.
  • In the proof, we establish that M ⊨ φ for the constructed model.

Variations

Ready to copy

Technical codes

UnicodeU+22A8
HTML Entity⊨
HTML Code⊨
CSS\22A8

FAQ

What does ⊨ mean?

It’s commonly used to mean that a model satisfies a statement (e.g., M ⊨ φ), i.e., the statement is true in that model.

What is the Unicode code point for ⊨?

The character is at Unicode code point U+22A8.

How can I copy ⊨ into HTML?

You can use the HTML entity: ⊨.

How do I use ⊨ in CSS or JavaScript?

CSS escape: \\22A8. JavaScript escape: \\u{22A8}.

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