Theorem luklem8 668

Description: Lemma for rederiving standard propositional axioms from Lukasiewicz'.

Assertion

Ref	Expression
luklem8	|- ((ph -> ps) -> ((ch -> ph) -> (ch -> ps)))

Proof of Theorem luklem8

Step	Hyp	Ref	Expression
1		luk-1 658	. 2 |- ((ch -> ph) -> ((ph -> ps) -> (ch -> ps)))
2		luklem7 667	. 2 |- (((ch -> ph) -> ((ph -> ps) -> (ch -> ps))) -> ((ph -> ps) -> ((ch -> ph) -> (ch -> ps))))
3	1, 2	ax-mp 6	1 |- ((ph -> ps) -> ((ch -> ph) -> (ch -> ps)))

Syntax hints:   -> wi 2

This theorem is referenced by:  ax2 670

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

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