rblem2 - Metamath Proof Explorer

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Theorem rblem2 1683

Description: Used to rederive the Lukasiewicz axioms from Russell-Bernays'. (Contributed by Anthony Hart, 18-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

**Assertion**
Ref	Expression
rblem2	$\/$ $\/$ $\/$ $\/$

**Proof of Theorem rblem2**
Step	Hyp	Ref	Expression
1		rb-ax2 1678	. . 3 $\/$ $\/$ $\/$
2		rb-ax3 1679	. . 3 $\/$ $\/$
3	1, 2	rbsyl 1681	. 2 $\/$ $\/$
4		rb-ax1 1677	. 2 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$
5	3, 4	anmp 1676	1 $\/$ $\/$ $\/$ $\/$

Colors of variables: wff setvar class

Syntax hints:

wn 3 $\/$ wo 383

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 197 df-or 385 df-an 386

This theorem is referenced by: rblem3 1684 rblem4 1685 re2luk3 1692

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