Description: A rank is a member of the cumulative hierarchy. (Contributed by Mario Carneiro, 17-Nov-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | rankdmr1 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rankidb | |
|
2 | elfvdm | |
|
3 | 1 2 | syl | |
4 | r1funlim | |
|
5 | 4 | simpri | |
6 | limsuc | |
|
7 | 5 6 | ax-mp | |
8 | 3 7 | sylibr | |
9 | rankvaln | |
|
10 | limomss | |
|
11 | 5 10 | ax-mp | |
12 | peano1 | |
|
13 | 11 12 | sselii | |
14 | 9 13 | eqeltrdi | |
15 | 8 14 | pm2.61i | |