rblem7 - Metamath Proof Explorer

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Theorem rblem7 1688

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
rblem7.1	$\/$ $\/$ $\/$

**Assertion**
Ref	Expression
rblem7	$\/$

**Proof of Theorem rblem7**
Step	Hyp	Ref	Expression
1		rblem7.1	. 2 $\/$ $\/$ $\/$
2		rb-ax3 1679	. . 3 $\/$ $\/$ $\/$ $\/$ $\/$
3		rblem5 1686	. . 3 $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$ $\/$
4	2, 3	anmp 1676	. 2 $\/$ $\/$ $\/$ $\/$ $\/$
5	1, 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: re2luk1 1690 re2luk2 1691 re2luk3 1692

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