Tee (symbol)
The tee (⊤, \top in LaTeX,), also called down tack (as opposed to the up tack) or verum is a symbol used to represent:
- The top element in lattice theory.
- The truth value of being true in logic, or a sentence (e.g., formula in propositional calculus) which is unconditionally true.[1][2][3][4] By definition, every tautology is logically equivalent to the verum.
- The top type in type theory.
- Mixed radix encoding in the APL programming language.
A similar-looking superscript T may be used to mean the transpose of a matrix.[5]
Encoding
In Unicode, the tee character is encoded as U+22A4 ⊤ DOWN TACK (HTML ⊤ · ⊤, ⊤).[6] The symbol is encoded in LaTeX as \top.
See also
- Turnstile (⊢)
- Up tack (⊥)
- Falsum
- List of logic symbols
- List of mathematical symbols
Notes
- "Comprehensive List of Logic Symbols". Math Vault. 2020-04-06. Retrieved 2020-08-14.
- "tautology | Definition & Facts". Encyclopedia Britannica. Retrieved 2020-08-14.
- "Definition of TAUTOLOGY". www.merriam-webster.com. Retrieved 2020-08-14.
- Weisstein, Eric W. "Tautology". mathworld.wolfram.com. Retrieved 2020-08-14.
- "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-08-14.
- "Mathematical Operators – Unicode" (PDF). Retrieved 2013-07-20.
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