Theorem loolin 110

Description: The Linearity Axiom of the infinite-valued sentential logic (L-infinity) of Lukasiewicz. See loowoz 111 for an alternate axiom. (Contributed by Mel L. O'Cat, 12-Aug-2004.)

Assertion

Ref	Expression
loolin	|- ( ( ( ph -> ps ) -> ( ps -> ph ) ) -> ( ps -> ph ) )

Proof of Theorem loolin

Step	Hyp	Ref	Expression
1		jarr 106	. 2 |- ( ( ( ph -> ps ) -> ( ps -> ph ) ) -> ( ps -> ( ps -> ph ) ) )
2	1	pm2.43d 53	1 |- ( ( ( ph -> ps ) -> ( ps -> ph ) ) -> ( ps -> ph ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by: (None)