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.)
Ref | Expression | ||
---|---|---|---|
Assertion | rblem5 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rb-ax2 | |
|
2 | rb-ax4 | |
|
3 | rb-ax3 | |
|
4 | 2 3 | rbsyl | |
5 | rb-ax4 | |
|
6 | rb-ax3 | |
|
7 | 5 6 | rbsyl | |
8 | rb-ax2 | |
|
9 | 7 8 | anmp | |
10 | 9 4 | rblem1 | |
11 | 4 10 | anmp | |
12 | rb-ax4 | |
|
13 | rb-ax3 | |
|
14 | 12 13 | rbsyl | |
15 | rb-ax2 | |
|
16 | 14 15 | anmp | |
17 | 11 16 | rblem1 | |
18 | 1 17 | rbsyl | |