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Theorem loolin 111
Description: The Linearity Axiom of the infinite-valued sentential logic (L-infinity) of Lukasiewicz. See loowoz 112 for an alternate axiom. (Contributed by Mel L. O'Cat, 12-Aug-2004.)
Ref Expression
loolin (((𝜑𝜓) → (𝜓𝜑)) → (𝜓𝜑))

Proof of Theorem loolin
StepHypRef Expression
1 jarr 106 . 2 (((𝜑𝜓) → (𝜓𝜑)) → (𝜓 → (𝜓𝜑)))
21pm2.43d 53 1 (((𝜑𝜓) → (𝜓𝜑)) → (𝜓𝜑))
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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