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Theorem luk-2 1489
Description: 2 of 3 axioms for propositional calculus due to Lukasiewicz, derived from Meredith's sole axiom. (Contributed by NM, 14-Dec-2002.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
luk-2

Proof of Theorem luk-2
StepHypRef Expression
1 merlem5 1479 . . . . 5
2 merlem4 1478 . . . . 5
31, 2ax-mp 5 . . . 4
4 merlem11 1485 . . . 4
53, 4ax-mp 5 . . 3
6 ax-meredith 1474 . . 3
75, 6ax-mp 5 . 2
8 merlem11 1485 . 2
97, 8ax-mp 5 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4
This theorem is referenced by:  luklem4  1494
This theorem was proved from axioms:  ax-mp 5  ax-meredith 1474
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