Symbols:General/Negation

Negation

 * $\not =, \ \not>, \ \not<, \ \not \ge, \ \not \le, \ \not \in, \ \not \exists, \ \not \subseteq, \ \not \subset, \ \not \supseteq, \ \not \supset$

The above symbols all mean the opposite of the non struck through version of the symbol.

For example, $x \not\in S$ means that $x$ is not an element of $S$.

The slash $/$ through a symbol can be used to reverse the meaning of essentially any mathematical symbol (especially relations), although it is used most frequently with those listed above.


 * Note: Using $/$ with  and   can be confusing:
 * $\not \subsetneq, \ \not \supsetneq$
 * as the strike through of the symbol as a whole obscures the clarity of the strike through of the equivalence bar on the bottom, and hence should be avoided.


 * The constructs  and   can be used instead, but these are unwieldy and look suboptimal:
 * $\not \subsetneqq, \ \not \supsetneqq$
 * and it is suggested that a statement that requires this concept be restructured so as to avoid such a construct.

The $\LaTeX$ code for negation is  followed by the code for whatever symbol you want to negate.

For example,  will render $\not \in$.

Note that several of the above relations also have their own $\LaTeX$ commands for their negations, for example  or   for , and   for.

Also see

 * Definition:Logical Not

See Arithmetic and Algebra and Set Theory for the definitions of the symbols above.