Description: The rank of a set is bounded by the successor of a bound for its members. (Contributed by NM, 15-Sep-2006)
Ref | Expression | ||
---|---|---|---|
Hypothesis | rankr1b.1 | |
|
Assertion | rankbnd2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rankr1b.1 | |
|
2 | rankuni | |
|
3 | 1 | rankuni2 | |
4 | 2 3 | eqtr3i | |
5 | 4 | sseq1i | |
6 | iunss | |
|
7 | 5 6 | bitr2i | |
8 | rankon | |
|
9 | 8 | onssi | |
10 | eloni | |
|
11 | ordunisssuc | |
|
12 | 9 10 11 | sylancr | |
13 | 7 12 | bitrid | |