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Theorem loolinALT 95
Description: The Linearity Axiom of the infinite-valued sentential logic (L-infinity) of Lukasiewicz. This version of loolin 173 does not use ax-3 7, meaning that this theorem is intuitionistically valid. (Contributed by O'Cat, 12-Aug-2004.) (New usage is discouraged.) (Proof modification is discouraged.)
Ref Expression
loolinALT (((φψ) → (ψφ)) → (ψφ))

Proof of Theorem loolinALT
StepHypRef Expression
1 jarr 91 . 2 (((φψ) → (ψφ)) → (ψ → (ψφ)))
21pm2.43d 44 1 (((φψ) → (ψφ)) → (ψφ))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8
This theorem is referenced by: (None)
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