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Theorem rblem6 1580
 Description: Used to rederive the Lukasiewicz axioms from Russell-Bernays'. (Contributed by Anthony Hart, 19-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
rblem6.1
Assertion
Ref Expression
rblem6

Proof of Theorem rblem6
StepHypRef Expression
1 rblem6.1 . 2
2 rb-ax4 1573 . . . . . . 7
3 rb-ax3 1572 . . . . . . 7
42, 3rbsyl 1574 . . . . . 6
5 rb-ax2 1571 . . . . . 6
64, 5anmp 1569 . . . . 5
7 rblem3 1577 . . . . 5
86, 7anmp 1569 . . . 4
9 rb-ax2 1571 . . . 4
108, 9anmp 1569 . . 3
11 rblem5 1579 . . 3
1210, 11anmp 1569 . 2
131, 12anmp 1569 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wo 368 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371 This theorem is referenced by:  re1axmp  1582  re2luk1  1583  re2luk2  1584
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