Theorem luklem8 945

Description: Used to rederive 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-1 935	. 2 |- ((ch -> ph) -> ((ph -> ps) -> (ch -> ps)))
2		luklem7 944	. 2 |- (((ch -> ph) -> ((ph -> ps) -> (ch -> ps))) -> ((ph -> ps) -> ((ch -> ph) -> (ch -> ps))))
3	1, 2	ax-mp 7	1 |- ((ph -> ps) -> ((ch -> ph) -> (ch -> ps)))

Syntax hints:   -> wi 3

This theorem is referenced by:  ax2 947

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

Copyright terms: Public domain