Theorem luklem3 943

Description: Used to rederive standard propositional axioms from Lukasiewicz'.

Assertion

Ref	Expression
luklem3	|- (ph -> (((-. ph -> ps) -> ch) -> (th -> ch)))

Proof of Theorem luklem3

Step	Hyp	Ref	Expression
1		luk-3 940	. 2 |- (ph -> (-. ph -> -. th))
2		luklem2 942	. 2 |- ((-. ph -> -. th) -> (((-. ph -> ps) -> ch) -> (th -> ch)))
3	1, 2	luklem1 941	1 |- (ph -> (((-. ph -> ps) -> ch) -> (th -> ch)))

Syntax hints:  -. wn 2   -> wi 3

This theorem is referenced by:  luklem4 944  luklem5 945

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

Copyright terms: Public domain