Theorem bijust

Theorem used to justify the definition of the biconditional [df-bi]. Instance of bijust0. (Contributed by NM, 11-May-1999.)

Conclusion
\( \vdash \neg ((\neg ((\varphi \rightarrow \psi) \rightarrow \neg (\psi \rightarrow \varphi)) \rightarrow \neg ((\varphi \rightarrow \psi) \rightarrow \neg (\psi \rightarrow \varphi))) \rightarrow \neg (\neg ((\varphi \rightarrow \psi) \rightarrow \neg (\psi \rightarrow \varphi)) \rightarrow \neg ((\varphi \rightarrow \psi) \rightarrow \neg (\psi \rightarrow \varphi)))) \)
Proof
bijust0