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Theorem luklem7 1429
Description: Used to rederive standard propositional axioms from Lukasiewicz'. (Contributed by NM, 22-Dec-2002.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
luklem7

Proof of Theorem luklem7
StepHypRef Expression
1 luk-1 1420 . 2
2 luklem5 1427 . . . . 5
3 luk-1 1420 . . . . 5
42, 3luklem1 1423 . . . 4
5 luklem6 1428 . . . 4
64, 5luklem1 1423 . . 3
7 luk-1 1420 . . 3
86, 7ax-mp 5 . 2
91, 8luklem1 1423 1
Colors of variables: wff setvar class
Syntax hints:   wi 4
This theorem was proved from axioms:  ax-mp 5  ax-meredith 1406
This theorem is referenced by:  luklem8  1430  ax2  1432
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