Theorem loolin

The Linearity Axiom of the infinite-valued sentential logic (L-infinity) of Lukasiewicz. See loowoz for an alternate axiom. (Contributed by Mel L. O'Cat, 12-Aug-2004.)

Conclusion

\( \vdash ((\varphi \rightarrow \psi) \rightarrow \psi \rightarrow \varphi) \rightarrow \psi \rightarrow \varphi \)

Proof

jarr

pm2.43d _