Theorem loowoz 102

Description: An alternate for the Linearity Axiom of the infinite-valued sentential logic (L-infinity) of Lukasiewicz, due to Barbara Wozniakowska, Reports on Mathematical Logic 10, 129-137 (1978). (Contributed by O'Cat, 8-Aug-2004.)

Assertion

Ref	Expression
loowoz	|- ( ( ( ph -> ps ) -> ( ph -> ch ) ) -> ( ( ps -> ph ) -> ( ps -> ch ) ) )

Proof of Theorem loowoz

Step	Hyp	Ref	Expression
1		jarr 97	. 2 |- ( ( ( ph -> ps ) -> ( ph -> ch ) ) -> ( ps -> ( ph -> ch ) ) )
2	1	a2d 26	1 |- ( ( ( ph -> ps ) -> ( ph -> ch ) ) -> ( ( ps -> ph ) -> ( ps -> ch ) ) )

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)