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Theorem loowoz 96
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
StepHypRef Expression
1 jarr 91 . 2  |-  ( ( ( ph  ->  ps )  ->  ( ph  ->  ch ) )  ->  ( ps  ->  ( ph  ->  ch ) ) )
21a2d 23 1  |-  ( ( ( ph  ->  ps )  ->  ( ph  ->  ch ) )  ->  (
( ps  ->  ph )  ->  ( ps  ->  ch ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
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