Theorem luklem5 945

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

Assertion

Ref	Expression
luklem5	|- (ph -> (ps -> ph))

Proof of Theorem luklem5

Step	Hyp	Ref	Expression
1		luklem3 943	. 2 |- (ph -> (((-. ph -> ph) -> ph) -> (ps -> ph)))
2		luklem4 944	. 2 |- ((((-. ph -> ph) -> ph) -> (ps -> ph)) -> (ps -> ph))
3	1, 2	luklem1 941	1 |- (ph -> (ps -> ph))

Syntax hints:  -. wn 2   -> wi 3

This theorem is referenced by:  luklem6 946  luklem7 947  ax1 949

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

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