Theorem pm4.81

A formula is equivalent to its negation implying it. Theorem *4.81 of [WhiteheadRussell] p. 122. Note that the second step, using pm2.24, could also use [ax-1]. (Contributed by NM, 3-Jan-2005.)

Conclusion
\( \vdash \neg \varphi \rightarrow \varphi \leftrightarrow \varphi \)
Proof
l0
pm2.18
pm2.24
impbii l0 _