Tags: double-negation-introduction math concept inference-rule

double-negation-introduction (math concept)

Definition

double-negation-introduction is the well-known and valid inference-rule:

\[\boldsymbol{P} \vdash \lnot \left( \lnot \left( \boldsymbol{P} \right) \right)\]

Quotes

“The rule of double negation introduction is a valid argument in types of logic dealing with negation ¬. This includes propositional logic and predicate logic, and in particular natural deduction. As a proof rule it is expressed in the form: If we can conclude ϕ, then we may infer ¬¬ϕ.” - [ProofWiki22a]