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Theorem loowoz 111
Description: An alternate for the Linearity Axiom of the infinite-valued sentential logic (L-infinity) of Lukasiewicz loolin 110, due to Barbara Wozniakowska, Reports on Mathematical Logic 10, 129-137 (1978). (Contributed by Mel L. O'Cat, 8-Aug-2004.)
Assertion
Ref Expression
loowoz (((𝜑𝜓) → (𝜑𝜒)) → ((𝜓𝜑) → (𝜓𝜒)))

Proof of Theorem loowoz
StepHypRef Expression
1 jarr 106 . 2 (((𝜑𝜓) → (𝜑𝜒)) → (𝜓 → (𝜑𝜒)))
21a2d 29 1 (((𝜑𝜓) → (𝜑𝜒)) → ((𝜓𝜑) → (𝜓𝜒)))
Colors of variables: wff setvar class
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)
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