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Theorem loolin 101
Description: The Linearity Axiom of the infinite-valued sentential logic (L-infinity) of Lukasiewicz. (Contributed by O'Cat, 12-Aug-2004.)
Assertion
Ref Expression
loolin (((𝜑𝜓) → (𝜓𝜑)) → (𝜓𝜑))

Proof of Theorem loolin
StepHypRef Expression
1 jarr 97 . 2 (((𝜑𝜓) → (𝜓𝜑)) → (𝜓 → (𝜓𝜑)))
21pm2.43d 50 1 (((𝜑𝜓) → (𝜓𝜑)) → (𝜓𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by: (None)
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