\nvdash

The symbol \nvdash is used in logic to denote that a particular statement or formula is not provable or does not entail another statement. It is the negation of the \vdash symbol, which represents provability or derivation in formal systems.

Examples

Statement A does not entail statement B.

A \nvdash B

The set of statements \Gamma does not prove the statement \phi.

\Gamma \nvdash \phi

The predicate P(x) does not entail the predicate Q(x).

P(x) \nvdash Q(x)