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	⊢ (((φ → ψ) → (φ → χ)) → ((ψ → φ) → (ψ → χ)))

Proof of Theorem loowoz

Step	Hyp	Ref	Expression
1		jarr 91	. 2 ⊢ (((φ → ψ) → (φ → χ)) → (ψ → (φ → χ)))
2	1	a2d 23	1 ⊢ (((φ → ψ) → (φ → χ)) → ((ψ → φ) → (ψ → χ)))

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)